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-83=-3+18a-8a
Use the distributive property to multiply -3 by 1-6a.
-83=-3+10a
Combine 18a and -8a to get 10a.
-3+10a=-83
Swap sides so that all variable terms are on the left hand side.
10a=-83+3
Add 3 to both sides.
10a=-80
Add -83 and 3 to get -80.
a=\frac{-80}{10}
Divide both sides by 10.
a=-8
Divide -80 by 10 to get -8.