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\frac{82}{-2}=6n-5
Divide both sides by -2.
-41=6n-5
Divide 82 by -2 to get -41.
6n-5=-41
Swap sides so that all variable terms are on the left hand side.
6n=-41+5
Add 5 to both sides.
6n=-36
Add -41 and 5 to get -36.
n=\frac{-36}{6}
Divide both sides by 6.
n=-6
Divide -36 by 6 to get -6.