# How do you solve \frac { 3} { 4} a = \frac { 1} { 3} a - 1?

May 26, 2018

$- \frac{12}{5}$

#### Explanation:

$\frac{3}{4} a = \frac{1}{3} a - 1$
$\frac{3}{4} a - \frac{1}{3} a = - 1$
$\frac{9}{12} a - \frac{4}{12} a = - 1$
$\frac{5}{12} a = - 1$
$5 a = - 12$
$a = - \frac{12}{5}$