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-2\left(-3\right)+1-\sqrt{3}-\left(\frac{1}{2}\right)^{-2}
Calculate \sqrt[3]{-27} and get -3.
6+1-\sqrt{3}-\left(\frac{1}{2}\right)^{-2}
Multiply -2 and -3 to get 6.
7-\sqrt{3}-\left(\frac{1}{2}\right)^{-2}
Add 6 and 1 to get 7.
7-\sqrt{3}-4
Calculate \frac{1}{2} to the power of -2 and get 4.
3-\sqrt{3}
Subtract 4 from 7 to get 3.