QuestionSolve the equation $6(3 d+1)-40=9 d+8$ for d.

Studdy Solution

STEP 1

Assumptions1. The equation is $6(3d+1)-40=9d+8$ . We need to solve for $d$

STEP 2

First, we need to distribute the $6$ in the left hand side of the equation.
$6(d+1)-40 =18d+6-40$

STEP 3

implify the left hand side of the equation.
$18d+6-40 =18d-34$

STEP 4

Now, rewrite the equation with the simplified left hand side.
$18d-34 =9d+8$

STEP 5

To isolate $d$ , we need to get all terms involving $d$ on one side of the equation and the constants on the other side. First, subtract $9d$ from both sides of the equation.
$18d-9d-34 =9d-9d+8$

STEP 6

implify both sides of the equation.
$9d-34 =8$

STEP 7

Next, add $34$ to both sides of the equation to isolate the term with $d$ .
$9d-34+34 =+34$

STEP 8

implify both sides of the equation.
$d =42$

STEP 9

Finally, divide both sides of the equation by $9$ to solve for $d$ .
$d =42/9$

STEP 10

implify the right hand side of the equation to get the final solution for $d$ .
$d =42/9 =14/3$ So, $d =14/3$ .

Was this helpful?

QuestionSolve the equation $6(3 d+1)-40=9 d+8$ for d.

Studdy Solution

STEP 1

Assumptions1. The equation is $6(3d+1)-40=9d+8$ . We need to solve for $d$

STEP 2

First, we need to distribute the $6$ in the left hand side of the equation.
$6(d+1)-40 =18d+6-40$

STEP 3

implify the left hand side of the equation.
$18d+6-40 =18d-34$

STEP 4

Now, rewrite the equation with the simplified left hand side.
$18d-34 =9d+8$

STEP 5

To isolate $d$ , we need to get all terms involving $d$ on one side of the equation and the constants on the other side. First, subtract $9d$ from both sides of the equation.
$18d-9d-34 =9d-9d+8$

STEP 6

implify both sides of the equation.
$9d-34 =8$

STEP 7

Next, add $34$ to both sides of the equation to isolate the term with $d$ .
$9d-34+34 =+34$

STEP 8

implify both sides of the equation.
$d =42$

STEP 9

Finally, divide both sides of the equation by $9$ to solve for $d$ .
$d =42/9$

STEP 10

implify the right hand side of the equation to get the final solution for $d$ .
$d =42/9 =14/3$ So, $d =14/3$ .

Get Studdy

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 6(3d+1)−40=9d+86(3 d+1)-40=9 d+86(3d+1)−40=9d+8 for d.

Studdy Solution

STEP 1

Assumptions1. The equation is 6(3d+1)−40=9d+86(3d+1)-40=9d+86(3d+1)−40=9d+8 . We need to solve for ddd

STEP 2

First, we need to distribute the 666 in the left hand side of the equation.6(d+1)−40=18d+6−406(d+1)-40 =18d+6-406(d+1)−40=18d+6−40

STEP 3

implify the left hand side of the equation.18d+6−40=18d−3418d+6-40 =18d-3418d+6−40=18d−34

STEP 4

Now, rewrite the equation with the simplified left hand side.18d−34=9d+818d-34 =9d+818d−34=9d+8

STEP 5

To isolate ddd, we need to get all terms involving ddd on one side of the equation and the constants on the other side. First, subtract 9d9d9d from both sides of the equation.18d−9d−34=9d−9d+818d-9d-34 =9d-9d+818d−9d−34=9d−9d+8

STEP 6

implify both sides of the equation.9d−34=89d-34 =89d−34=8

STEP 7

Next, add 343434 to both sides of the equation to isolate the term with ddd.9d−34+34=+349d-34+34 =+349d−34+34=+34

STEP 8

implify both sides of the equation.d=42d =42d=42

STEP 9

Finally, divide both sides of the equation by 999 to solve for ddd.d=42/9d =42/9d=42/9

STEP 10

implify the right hand side of the equation to get the final solution for ddd.d=42/9=14/3d =42/9 =14/3d=42/9=14/3So, d=14/3d =14/3d=14/3.

Get Studdy

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 $6(3 d+1)-40=9 d+8$ for d.

Assumptions1. The equation is $6(3d+1)-40=9d+8$ . We need to solve for $d$

First, we need to distribute the $6$ in the left hand side of the equation.
$6(d+1)-40 =18d+6-40$

implify the left hand side of the equation.
$18d+6-40 =18d-34$

Now, rewrite the equation with the simplified left hand side.
$18d-34 =9d+8$

To isolate $d$ , we need to get all terms involving $d$ on one side of the equation and the constants on the other side. First, subtract $9d$ from both sides of the equation.
$18d-9d-34 =9d-9d+8$

implify both sides of the equation.
$9d-34 =8$

Next, add $34$ to both sides of the equation to isolate the term with $d$ .
$9d-34+34 =+34$

implify both sides of the equation.
$d =42$

Finally, divide both sides of the equation by $9$ to solve for $d$ .
$d =42/9$

implify the right hand side of the equation to get the final solution for $d$ .
$d =42/9 =14/3$ So, $d =14/3$ .