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25w-35-4w=5\left(w-6\right)-7
Use the distributive property to multiply -5 by -5w+7.
21w-35=5\left(w-6\right)-7
Combine 25w and -4w to get 21w.
21w-35=5w-30-7
Use the distributive property to multiply 5 by w-6.
21w-35=5w-37
Subtract 7 from -30 to get -37.
21w-35-5w=-37
Subtract 5w from both sides.
16w-35=-37
Combine 21w and -5w to get 16w.
16w=-37+35
Add 35 to both sides.
16w=-2
Add -37 and 35 to get -2.
w=\frac{-2}{16}
Divide both sides by 16.
w=-\frac{1}{8}
Reduce the fraction \frac{-2}{16} to lowest terms by extracting and canceling out 2.