QuestionSolve the equation: $2(9r + 17) = 16r + 6$ . Fill in the missing terms and simplify fractions.

Studdy Solution

STEP 1

Assumptions1. We are given an equation with a missing term, which we need to find. . We are allowed to use basic algebraic operations to solve the equation.
3. The distributive property has already been applied to expand the left-hand side of the equation.

STEP 2

The given equation after applying the distributive property is $18r +34 =16r +6$

STEP 3

Subtract $16r$ from both sides to isolate the $r$ terms on one side and the constants on the other side.
$18r -16r +34 =16r -16r +6$

STEP 4

implify the equation.
$2r +34 =6$

STEP 5

Subtract $34$ from both sides to isolate $2r$ on one side.
$2r +34 -34 = -34$

STEP 6

implify the equation.
$2r = -28$ This is the missing term in the third line of the equation.

STEP 7

Divide both sides by $2$ to solve for $r$ .
$r = \frac{-28}{2}$

STEP 8

implify the fraction to find the value of $r$ .
$r = -14$ This is the missing term in the last line of the equation.
So, the missing terms in the equation are $-28$ and $-14$ respectively.

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QuestionSolve the equation: $2(9r + 17) = 16r + 6$ . Fill in the missing terms and simplify fractions.

Studdy Solution

STEP 1

Assumptions1. We are given an equation with a missing term, which we need to find. . We are allowed to use basic algebraic operations to solve the equation.
3. The distributive property has already been applied to expand the left-hand side of the equation.

STEP 2

The given equation after applying the distributive property is $18r +34 =16r +6$

STEP 3

Subtract $16r$ from both sides to isolate the $r$ terms on one side and the constants on the other side.
$18r -16r +34 =16r -16r +6$

STEP 4

implify the equation.
$2r +34 =6$

STEP 5

Subtract $34$ from both sides to isolate $2r$ on one side.
$2r +34 -34 = -34$

STEP 6

implify the equation.
$2r = -28$ This is the missing term in the third line of the equation.

STEP 7

Divide both sides by $2$ to solve for $r$ .
$r = \frac{-28}{2}$

STEP 8

implify the fraction to find the value of $r$ .
$r = -14$ This is the missing term in the last line of the equation.
So, the missing terms in the equation are $-28$ and $-14$ respectively.

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QuestionSolve the equation: 2(9r+17)=16r+62(9r + 17) = 16r + 62(9r+17)=16r+6. Fill in the missing terms and simplify fractions.

Studdy Solution

STEP 1

Assumptions1. We are given an equation with a missing term, which we need to find. . We are allowed to use basic algebraic operations to solve the equation.3. The distributive property has already been applied to expand the left-hand side of the equation.

STEP 2

The given equation after applying the distributive property is18r+34=16r+618r +34 =16r +618r+34=16r+6

STEP 3

Subtract 16r16r16r from both sides to isolate the rrr terms on one side and the constants on the other side.18r−16r+34=16r−16r+618r -16r +34 =16r -16r +618r−16r+34=16r−16r+6

STEP 4

implify the equation.2r+34=62r +34 =62r+34=6

STEP 5

Subtract 343434 from both sides to isolate 2r2r2r on one side.2r+34−34=−342r +34 -34 = -342r+34−34=−34

STEP 6

implify the equation.2r=−282r = -282r=−28This is the missing term in the third line of the equation.

STEP 7

Divide both sides by 222 to solve for rrr.r=−282r = \frac{-28}{2}r=2−28​

STEP 8

implify the fraction to find the value of rrr.r=−14r = -14r=−14This is the missing term in the last line of the equation.So, the missing terms in the equation are −28-28−28 and −14-14−14 respectively.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $2(9r + 17) = 16r + 6$ . Fill in the missing terms and simplify fractions.

Assumptions1. We are given an equation with a missing term, which we need to find. . We are allowed to use basic algebraic operations to solve the equation.
3. The distributive property has already been applied to expand the left-hand side of the equation.

The given equation after applying the distributive property is $18r +34 =16r +6$

Subtract $16r$ from both sides to isolate the $r$ terms on one side and the constants on the other side.
$18r -16r +34 =16r -16r +6$

implify the equation.
$2r +34 =6$

Subtract $34$ from both sides to isolate $2r$ on one side.
$2r +34 -34 = -34$

implify the equation.
$2r = -28$ This is the missing term in the third line of the equation.

Divide both sides by $2$ to solve for $r$ .
$r = \frac{-28}{2}$

implify the fraction to find the value of $r$ .
$r = -14$ This is the missing term in the last line of the equation.
So, the missing terms in the equation are $-28$ and $-14$ respectively.