# How do you solve \frac { 6a + 6} { 3} = - 14?

$a = - 8$

#### Explanation:

$\setminus \frac{6 a + 6}{3} = - 14$

$\frac{6 a}{3} + \frac{6}{3} = - 14$

$2 a + 2 = - 14$

$2 a = - 14 - 2$

$2 a = - 16$

$a = - \frac{16}{2}$

$a = - 8$

Jul 24, 2018

$a = - 8$

#### Explanation:

$\text{multiply both sides by 3}$

$\cancel{3} \times \frac{6 a + 6}{\cancel{3}} = 3 \times - 14$

$6 a + 6 = - 42$

$\text{subtract 6 from both sides}$

$6 a = - 42 - 6 = - 48$

$\text{divide both sides by 6}$

$a = \frac{- 48}{6} = - 8$