# How do you solve 4v - 35= - 8v?

Apr 17, 2018

$v = \frac{35}{12}$

#### Explanation:

$4 v - 35 = - 8 v$

Add $8 v$ to both sides

$4 v + 8 v - 35 = 0$

$12 v - 35 = 0$

$12 v = 35$

Divide both sides by 12

$v = \frac{35}{12}$

Apr 17, 2018

color(maroon)(v = 35 / 12 = 2 (11/12)

#### Explanation:

$4v - 35 = -8v $4 v + 8 v - 35 = \cancel{- 8 v} + \cancel{8 v} , \text{ Adding 8v to both sides}$$12 v \cancel{- 35} + \cancel{35} = + 35 , \text{ Adding 35 to both sides}$$12 v = 35\$

color(maroon)(v = 35 / 12 = 2 (11/12)#