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20\left(-\frac{7}{5}\right)=w
Multiply both sides by -\frac{7}{5}, the reciprocal of -\frac{5}{7}.
\frac{20\left(-7\right)}{5}=w
Express 20\left(-\frac{7}{5}\right) as a single fraction.
\frac{-140}{5}=w
Multiply 20 and -7 to get -140.
-28=w
Divide -140 by 5 to get -28.
w=-28
Swap sides so that all variable terms are on the left hand side.