How do you solve 3-abs(6n+7)=-40?

1 Answer
Apr 1, 2017

n=6 or -25/3

Explanation:

Subtract both sides by 3: -|6n+7|=-40-3=-43.
Multiply both sides by -1: |6n+7|=43

Now, since anything inside the absolute bars will be turned positive even if it was originally negative, we need to find when 6n+7=43 and when 6n+7=-43.

Solving these equations give us n=6 and -25/3.