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\frac{-5\left(-2\right)}{2}-2
Express -\frac{5}{2}\left(-2\right) as a single fraction.
\frac{10}{2}-2
Multiply -5 and -2 to get 10.
5-2
Divide 10 by 2 to get 5.
3
Subtract 2 from 5 to get 3.