-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