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-24=-7w+5w-10
Use the distributive property to multiply 5 by w-2.
-24=-2w-10
Combine -7w and 5w to get -2w.
-2w-10=-24
Swap sides so that all variable terms are on the left hand side.
-2w=-24+10
Add 10 to both sides.
-2w=-14
Add -24 and 10 to get -14.
w=\frac{-14}{-2}
Divide both sides by -2.
w=7
Divide -14 by -2 to get 7.