# How do you solve 175= - 7( - 1+ 3v )?

Sep 21, 2017

$v = - 8$

#### Explanation:

$175 = - 7 \left(- 1 + 3 v\right)$
Let start by distributing the right side
$175 = \left(- 7\right) \left(- 1\right) + \left(- 7\right) \left(3 v\right)$
$175 = 7 - 21 v$
We always want to make sure we put the variable we are solving in front(leading the equation). For that, we Flip the equation
$- 21 v + 7 = 175$
Group the common term
$21 v = 175 - 7$
$21 v = 168$
Finally, divide both sides by $\textcolor{red}{- 21}$
$\frac{- 21 v}{\textcolor{red}{- 21}} = \frac{168}{\textcolor{red}{- 21}}$
$v = - 8$