# How do you solve -8v + 4( v - 2) = - 32?

Apr 13, 2017

$v = 6$

#### Explanation:

Multiply $4$ through the brackets,

$- 8 v + 4 v - 8 = - 32$

Collect like terms,

$- 4 v = - 24$

Divide both sides by $- 4$,

$v = 6$

Apr 13, 2017

$v = 6$

See the process in the explanation.

#### Explanation:

Solve:

$- 8 v + 4 \left(v - 2\right) = - 32$

Expand.

$- 8 v + 4 v - 8 = - 32$

Add $8$ to both sides of the equation.

$- 8 v + 4 v - \textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} = - 32 + 8$

Simplify.

$- 4 v = - 24$

Divide both sides by $- 4$.

color(red)cancel(color(black)(-4v))/color(red)cancel(color(black)(-4))=color(red)cancel(color(black)(-24))^color(blue)6/color(red)cancel(color(black)(-4)^color(blue)1

Simplify.

$v = 6$