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-8=\frac{-\left(-10\right)}{2}+b
Express -\frac{1}{2}\left(-10\right) as a single fraction.
-8=\frac{10}{2}+b
Multiply -1 and -10 to get 10.
-8=5+b
Divide 10 by 2 to get 5.
5+b=-8
Swap sides so that all variable terms are on the left hand side.
b=-8-5
Subtract 5 from both sides.
b=-13
Subtract 5 from -8 to get -13.