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4+4^{0}-\left(5-\frac{6}{3}\right)
Divide -12 by -3 to get 4.
4+1-\left(5-\frac{6}{3}\right)
Calculate 4 to the power of 0 and get 1.
4+1-\left(5-2\right)
Divide 6 by 3 to get 2.
4+1-3
Subtract 2 from 5 to get 3.
4-2
Subtract 3 from 1 to get -2.
2
Subtract 2 from 4 to get 2.