# How do you solve -3+ | 5n - 5| = 22?

Apr 28, 2018

$n = - 4 , 6$

#### Explanation:

Start by isolating the absolute value to one side of the equation. In our case, this would give $| 5 n - 5 | = 25$. Note that this equation is true whenever $5 n - 5$ equals $25$ or $- 25$.

Set up two equations without the absolute value, one accounting for a possible positive value and the other for a possible negative value.

$5 n - 5 = 25$
$5 n - 5 = - 25$

Solve these to obtain the solutions.

$5 n - 5 = 25 \to 5 n = 30 \to n = 6$
$5 n - 5 = - 25 \to 5 n = - 20 \to n = - 4$.

Thus, our solutions are $n = - 4 , 6$.