Question

Solve for v.-4(v+2) = 9v+31Simplify your answer as much as possible.

Answer 1

v = -3

Explanation:$-4(v\text{ + 2) = 9v + 31}$

Expand using distributive property:

$\begin{gathered} -4(v)\text{ -4(2) = 9v + 31} \\ -4v\text{ - 8 = 9v + 31} \end{gathered}$

Collect like terms:

$\begin{gathered} \text{Add 8 to both sides:} \\ -4v\text{ -8 + 8 = 9v + 31 + 8} \\ -4v\text{ = 9v + 39} \\ \text{Subtract 9v from both sides:} \\ -4v\text{ - 9v = 9v - 9v + 39} \end{gathered}$$\begin{gathered} -13v\text{ = 39} \\ \text{divide both sides by -13:} \\ \frac{-13v}{-13}\text{ = }\frac{39}{-13} \\ v\text{ =-3} \end{gathered}$