# How do you solve 5abs(9-5n)-7=38?

Jul 31, 2016

$m = 0$ or $m = \frac{18}{5}$

#### Explanation:

$5 | 9 - 5 m | - 7 = 38$ means

$5 | 9 - 5 m | = 38 + 7 = 45$ or

$| 9 - 5 m | = \frac{45}{5} = 9$

Hence either $9 - 5 m = 9$ or $- 5 m = 0$ and $m = 0$

or $- \left(9 - 5 m\right) = 9$ or $5 m = 18$ or $m = \frac{18}{5}$