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-\frac{1}{2}-4\left(-2\right)
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
-\frac{1}{2}-\left(-8\right)
Multiply 4 and -2 to get -8.
-\frac{1}{2}+8
The opposite of -8 is 8.
-\frac{1}{2}+\frac{16}{2}
Convert 8 to fraction \frac{16}{2}.
\frac{-1+16}{2}
Since -\frac{1}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.
\frac{15}{2}
Add -1 and 16 to get 15.