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2\left(-4\right)+5-\left(2\times 4^{2}+5\right)
Calculate 2 to the power of 2 and get 4.
-8+5-\left(2\times 4^{2}+5\right)
Multiply 2 and -4 to get -8.
-3-\left(2\times 4^{2}+5\right)
Add -8 and 5 to get -3.
-3-\left(2\times 16+5\right)
Calculate 4 to the power of 2 and get 16.
-3-\left(32+5\right)
Multiply 2 and 16 to get 32.
-3-37
Add 32 and 5 to get 37.
-40
Subtract 37 from -3 to get -40.