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\frac{1}{2}w+\frac{1}{2}\left(-4\right)
Use the distributive property to multiply \frac{1}{2} by w-4.
\frac{1}{2}w+\frac{-4}{2}
Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.
\frac{1}{2}w-2
Divide -4 by 2 to get -2.
\frac{1}{2}w+\frac{1}{2}\left(-4\right)
Use the distributive property to multiply \frac{1}{2} by w-4.
\frac{1}{2}w+\frac{-4}{2}
Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.
\frac{1}{2}w-2
Divide -4 by 2 to get -2.