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#