Solve for w
w=15
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\frac{2}{3}w=14-4
Subtract 4 from both sides.
\frac{2}{3}w=10
Subtract 4 from 14 to get 10.
w=10\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
w=\frac{10\times 3}{2}
Express 10\times \frac{3}{2} as a single fraction.
w=\frac{30}{2}
Multiply 10 and 3 to get 30.
w=15
Divide 30 by 2 to get 15.
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