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4=-7w+5w+20
Use the distributive property to multiply 5 by w+4.
4=-2w+20
Combine -7w and 5w to get -2w.
-2w+20=4
Swap sides so that all variable terms are on the left hand side.
-2w=4-20
Subtract 20 from both sides.
-2w=-16
Subtract 20 from 4 to get -16.
w=\frac{-16}{-2}
Divide both sides by -2.
w=8
Divide -16 by -2 to get 8.