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3w-\frac{9}{2}
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3w-\frac{9}{2}
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6\times \frac{1}{2}w+6\left(-\frac{3}{4}\right)
Use the distributive property to multiply 6 by \frac{1}{2}w-\frac{3}{4}.
\frac{6}{2}w+6\left(-\frac{3}{4}\right)
Multiply 6 and \frac{1}{2} to get \frac{6}{2}.
3w+6\left(-\frac{3}{4}\right)
Divide 6 by 2 to get 3.
3w+\frac{6\left(-3\right)}{4}
Express 6\left(-\frac{3}{4}\right) as a single fraction.
3w+\frac{-18}{4}
Multiply 6 and -3 to get -18.
3w-\frac{9}{2}
Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.
6\times \frac{1}{2}w+6\left(-\frac{3}{4}\right)
Use the distributive property to multiply 6 by \frac{1}{2}w-\frac{3}{4}.
\frac{6}{2}w+6\left(-\frac{3}{4}\right)
Multiply 6 and \frac{1}{2} to get \frac{6}{2}.
3w+6\left(-\frac{3}{4}\right)
Divide 6 by 2 to get 3.
3w+\frac{6\left(-3\right)}{4}
Express 6\left(-\frac{3}{4}\right) as a single fraction.
3w+\frac{-18}{4}
Multiply 6 and -3 to get -18.
3w-\frac{9}{2}
Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.
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