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-2-2\sqrt{4}+\sqrt{\left(-5\right)^{2}}
Calculate \sqrt[3]{-8} and get -2.
-2-2\times 2+\sqrt{\left(-5\right)^{2}}
Calculate the square root of 4 and get 2.
-2-4+\sqrt{\left(-5\right)^{2}}
Multiply -2 and 2 to get -4.
-6+\sqrt{\left(-5\right)^{2}}
Subtract 4 from -2 to get -6.
-6+\sqrt{25}
Calculate -5 to the power of 2 and get 25.
-6+5
Calculate the square root of 25 and get 5.
-1
Add -6 and 5 to get -1.