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-\left(4-2\right)^{3}-5\left(-2\right)
Calculate -2 to the power of 2 and get 4.
-2^{3}-5\left(-2\right)
Subtract 2 from 4 to get 2.
-8-5\left(-2\right)
Calculate 2 to the power of 3 and get 8.
-8-\left(-10\right)
Multiply 5 and -2 to get -10.
-8+10
The opposite of -10 is 10.
2
Add -8 and 10 to get 2.