5 -8| -2n|=-75

[math_celebrity]

Subtract 5 from each side:
-8|-2n| = -80

Divide each side by -8
|-2n| = 10

Since this is an absolute value equation, we need to setup two equations:

-2n = 10
-2n = -10

Solving for the first one by dividing each side by -2, we get:
n = -5

Solving for the second one by dividing each side by -2, we get:
n = 5