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-28\times \frac{9}{4}=w
Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.
\frac{-28\times 9}{4}=w
Express -28\times \frac{9}{4} as a single fraction.
\frac{-252}{4}=w
Multiply -28 and 9 to get -252.
-63=w
Divide -252 by 4 to get -63.
w=-63
Swap sides so that all variable terms are on the left hand side.