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4+5\sqrt[3]{-8}-\sqrt[3]{-1}
Calculate \sqrt[3]{64} and get 4.
4+5\left(-2\right)-\sqrt[3]{-1}
Calculate \sqrt[3]{-8} and get -2.
4-10-\sqrt[3]{-1}
Multiply 5 and -2 to get -10.
-6-\sqrt[3]{-1}
Subtract 10 from 4 to get -6.
-6-\left(-1\right)
Calculate \sqrt[3]{-1} and get -1.
-6+1
The opposite of -1 is 1.
-5
Add -6 and 1 to get -5.