# How do you solve -1 3 - 7 v = - 5 ( v + 1 )?

Mar 18, 2018

$v = - 4$

#### Explanation:

$- 13 - 7 v = - 5 \left(v + 1\right)$

$- 13 - 7 v = - 5 v - 5$

$- 7 v + 5 v = - 5 + 13 \text{ }$ (add $5 v$ and $13$ to both sides )

$\left(- 7 + 5\right) v = - 5 + 13$

$- 2 v = 8$

$2 v = - 8 \text{ }$ (multiply or divide both sides by $- 1$)

$v = - 4 \text{ }$ (divide both sides by $2$)