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

1 Answer
NickTheTurtle
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#.

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