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2-\frac{-6}{2}-\sqrt[3]{8}
Calculate \frac{1}{2} to the power of -1 and get 2.
2-\left(-3\right)-\sqrt[3]{8}
Divide -6 by 2 to get -3.
2+3-\sqrt[3]{8}
The opposite of -3 is 3.
5-\sqrt[3]{8}
Add 2 and 3 to get 5.
5-2
Calculate \sqrt[3]{8} and get 2.
3
Subtract 2 from 5 to get 3.