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-15w+4+7w=24
Add 7w to both sides.
-8w+4=24
Combine -15w and 7w to get -8w.
-8w=24-4
Subtract 4 from both sides.
-8w=20
Subtract 4 from 24 to get 20.
w=\frac{20}{-8}
Divide both sides by -8.
w=-\frac{5}{2}
Reduce the fraction \frac{20}{-8} to lowest terms by extracting and canceling out 4.