Question

Solve for t.

–17t = –9(3t + 17) − 7

t =

Answer 1

`\boxed{t = - 16}`

Explanation:

`= > - 17t = - 9(3t + 17) - 7 \\ \\ = > - 17t = - (9 * 3t) - (9 * 17) - 7 \\ \\ = > - 17t = - 27t - 153 - 7 \\ \\ = > - 17t = - 27t - 160 \\ \\ = > - 17t + 27t = - 160 \\ \\ = > 10t = - 160 \\ \\ = > t = - (160)/(10) \\ \\ = > t = - 16`

Answer 2

t = -16

Explanation:

→Distribute the -9 to (3t + 17):

-17t = -9(3t + 17) - 7

-17t = -27t - 153 - 7

→Add like terms:

-17t = -27t - 160

→Add 27t to both sides:

10t = -160

→Divide both sides by 10:

t = -16