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-2\left(-2\right)^{2}-\frac{-2^{3}}{8}
Divide -2 by 2 to get -1.
-2\times 4-\frac{-2^{3}}{8}
Calculate -2 to the power of 2 and get 4.
-8-\frac{-2^{3}}{8}
Multiply -2 and 4 to get -8.
-8-\frac{-8}{8}
Calculate 2 to the power of 3 and get 8.
-8-\left(-1\right)
Divide -8 by 8 to get -1.
-8+1
The opposite of -1 is 1.
-7
Add -8 and 1 to get -7.