# How do you solve (5v) / 6 + 7 / 6 = 1 / 12?

Apr 22, 2016

$v = - \frac{13}{10}$

#### Explanation:

First, we'll simplify the left side:
$\frac{5 v}{6} + \frac{7}{6} = \frac{1}{12}$
$\frac{5 v + 7}{6} = \frac{1}{12}$
Then multiple both sides by 12 t
To get rid of the fractions:
$\frac{5 v + 7}{6} \cdot 12 = \frac{1}{12} \cdot 12$
$2 \left(5 v + 7\right) = 1$
Then expand and rearrange to get $v$ alone on one side:
$5 v + 7 = \frac{1}{2}$
$5 v = \frac{1}{2} - 7$
$5 v = - \frac{13}{2}$
$v = - \frac{13}{10}$