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-2+5\left(-32-\left(-7\right)\right)-\sqrt[3]{-4}
Multiply -4 and 8 to get -32.
-2+5\left(-32+7\right)-\sqrt[3]{-4}
The opposite of -7 is 7.
-2+5\left(-25\right)-\sqrt[3]{-4}
Add -32 and 7 to get -25.
-2-125-\sqrt[3]{-4}
Multiply 5 and -25 to get -125.
-127-\sqrt[3]{-4}
Subtract 125 from -2 to get -127.