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

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Answer 1 · 2018-01-21T22:45:08

Given:

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

Subtract 5 from both sides:

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

Divide both sides by -8:

$|-2n| = 10$

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:

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

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

How do you solve 5-8abs(-2n)=-755-8abs(-2n)=-75?