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

1 Answer
Sep 22, 2016

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!