# How do you solve 5/6=(7n+9)/9?

Jul 27, 2016

$n = \textcolor{g r e e n}{- \frac{3}{14}}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{5}{6} = \frac{7 n + 9}{9}$
Multiplying both sides by $18$ to get rid of the denominators
$\textcolor{w h i t e}{\text{XXX}} 15 = 14 n + 18$

Rearranging and simplifying
$\textcolor{w h i t e}{\text{XXX}} 14 n = - 3$

$\textcolor{w h i t e}{\text{XXX}} n = - \frac{3}{14}$