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\frac{-170}{5}=7n+8
Divide both sides by 5.
-34=7n+8
Divide -170 by 5 to get -34.
7n+8=-34
Swap sides so that all variable terms are on the left hand side.
7n=-34-8
Subtract 8 from both sides.
7n=-42
Subtract 8 from -34 to get -42.
n=\frac{-42}{7}
Divide both sides by 7.
n=-6
Divide -42 by 7 to get -6.