QuestionSolve the equation: $2(9r + 17) = 16r + 6$ . Fill in the blanks and simplify each step.

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, r. . The equation needs to be solved step by step, filling in the missing terms.
3. The operations performed on the equation are valid operations in algebra.

STEP 2

First, we need to apply the distributive property to the left side of the equation.
$2(9r+17) =18r +34$

STEP 3

Now, replace the left side of the equation with the result from the distributive property.
$18r +34 =16r +6$

STEP 4

Next, subtract $16r$ from both sides of the equation.
$18r -16r +34 =16r -16r +6$

STEP 5

implify the left side of the equation.
$2r +34 =$

STEP 6

Now, subtract $34$ from both sides of the equation.
$2r +34 -34 =6 -34$

STEP 7

implify the equation.
$2r = -28$

STEP 8

Finally, divide both sides of the equation by $2$ .
$\frac{2r}{2} = \frac{-28}{2}$

STEP 9

implify the equation.
$r = -14$ So, the missing terms in the equation are $-28$ and $-14$ .

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QuestionSolve the equation: $2(9r + 17) = 16r + 6$ . Fill in the blanks and simplify each step.

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, r. . The equation needs to be solved step by step, filling in the missing terms.
3. The operations performed on the equation are valid operations in algebra.

STEP 2

First, we need to apply the distributive property to the left side of the equation.
$2(9r+17) =18r +34$

STEP 3

Now, replace the left side of the equation with the result from the distributive property.
$18r +34 =16r +6$

STEP 4

Next, subtract $16r$ from both sides of the equation.
$18r -16r +34 =16r -16r +6$

STEP 5

implify the left side of the equation.
$2r +34 =$

STEP 6

Now, subtract $34$ from both sides of the equation.
$2r +34 -34 =6 -34$

STEP 7

implify the equation.
$2r = -28$

STEP 8

Finally, divide both sides of the equation by $2$ .
$\frac{2r}{2} = \frac{-28}{2}$

STEP 9

implify the equation.
$r = -14$ So, the missing terms in the equation are $-28$ and $-14$ .

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QuestionSolve the equation: 2(9r+17)=16r+62(9r + 17) = 16r + 62(9r+17)=16r+6. Fill in the blanks and simplify each step.

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, r. . The equation needs to be solved step by step, filling in the missing terms.3. The operations performed on the equation are valid operations in algebra.

STEP 2

First, we need to apply the distributive property to the left side of the equation.2(9r+17)=18r+342(9r+17) =18r +342(9r+17)=18r+34

STEP 3

Now, replace the left side of the equation with the result from the distributive property.18r+34=16r+618r +34 =16r +618r+34=16r+6

STEP 4

Next, subtract 16r16r16r from both sides of the equation.18r−16r+34=16r−16r+618r -16r +34 =16r -16r +618r−16r+34=16r−16r+6

STEP 5

implify the left side of the equation.2r+34=2r +34 =2r+34=

STEP 6

Now, subtract 343434 from both sides of the equation.2r+34−34=6−342r +34 -34 =6 -342r+34−34=6−34

STEP 7

implify the equation.2r=−282r = -282r=−28

STEP 8

Finally, divide both sides of the equation by 222.2r2=−282\frac{2r}{2} = \frac{-28}{2}22r​=2−28​

STEP 9

implify the equation.r=−14r = -14r=−14So, the missing terms in the equation are −28-28−28 and −14-14−14.

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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 blanks and simplify each step.

Assumptions1. The equation is a linear equation in one variable, r. . The equation needs to be solved step by step, filling in the missing terms.
3. The operations performed on the equation are valid operations in algebra.

First, we need to apply the distributive property to the left side of the equation.
$2(9r+17) =18r +34$

Now, replace the left side of the equation with the result from the distributive property.
$18r +34 =16r +6$

Next, subtract $16r$ from both sides of the equation.
$18r -16r +34 =16r -16r +6$

implify the left side of the equation.
$2r +34 =$

Now, subtract $34$ from both sides of the equation.
$2r +34 -34 =6 -34$

implify the equation.
$2r = -28$

Finally, divide both sides of the equation by $2$ .
$\frac{2r}{2} = \frac{-28}{2}$

implify the equation.
$r = -14$ So, the missing terms in the equation are $-28$ and $-14$ .