# How do you solve \frac { 4} { 2} = \frac { n - 9} { n + 4}?

Jul 31, 2017

$n = - 17$

#### Explanation:

$\frac{4}{2} = \frac{n - 9}{n + 4}$

or

$2 = \frac{n - 9}{n + 4}$

or

$2 \left(n + 4\right) = n - 9$

or

$2 n + 8 = n - 9$

or

$2 n - n = - 9 - 8$

or

$n = - 17$