How do you solve #8abs(3-3n)-5=91#?

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Answer 1 · 2016-09-22T13:27:38

First, isolate the absolute value.

#8|3 - 3n| - 5 = 91#

#8|3 - 3n| = 96#

#|3 - 3n| = 12#

We must now consider the negative case and the positive case.

Case 1: The absolute value is positive

#3 - 3n = 12#

#-3n = 9#

#n = -3#

Case 2: The absolute value is negative

#-(3 - 3n) = 12#

#-3 + 3n = 12#

#3n = 15#

#n = 5#

Hence, the solution set is #{-3, 5}#.

Hopefully this helps!