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21=-6w+3w+18
Use the distributive property to multiply 3 by w+6.
21=-3w+18
Combine -6w and 3w to get -3w.
-3w+18=21
Swap sides so that all variable terms are on the left hand side.
-3w=21-18
Subtract 18 from both sides.
-3w=3
Subtract 18 from 21 to get 3.
w=\frac{3}{-3}
Divide both sides by -3.
w=-1
Divide 3 by -3 to get -1.