# How do you solve 5-8abs(-2n)=-75?

##### 1 Answer
Jan 21, 2018

Given:

$5 - 8 | - 2 n | = - 75$

Subtract 5 from both sides:

$- 8 | - 2 n | = - 80$

Divide both sides by -8:

$| - 2 n | = 10$

The piecewise form of the absolute value function is:

|f(n)| = {(f(n); f(n)>=0),(-f(n); f(n) < 0):}

This allows us to separate the equation into two equations:

$- 2 n = 10$ and $2 n = 10$

$n = - 5$ and $n = 5$