# How do you solve \frac { - 1+ v } { 3} = - 7?

May 10, 2018

$v = - 20$

#### Explanation:

By simplifying the equation:

$\frac{- 1 + v}{3} = - 7$
$\left(\frac{- 1 + v}{3}\right) \times 3 = - 7 \times 3$------> multiply by 3 both sides
$\left(\frac{- 1 + v}{\cancel{3}}\right) \times \cancel{3} = - 7 \times 3$
$- 1 + v = - 21$
$- 1 + v + 1 = - 21 + 1$-----> adding 1 both sides to make $v$ the subject
$v = - 20$