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-2+\frac{21}{3}-\left(12\left(3+1\right)-5\times 8\right)
Add 20 and 1 to get 21.
-2+7-\left(12\left(3+1\right)-5\times 8\right)
Divide 21 by 3 to get 7.
5-\left(12\left(3+1\right)-5\times 8\right)
Add -2 and 7 to get 5.
5-\left(12\times 4-5\times 8\right)
Add 3 and 1 to get 4.
5-\left(48-5\times 8\right)
Multiply 12 and 4 to get 48.
5-\left(48-40\right)
Multiply 5 and 8 to get 40.
5-8
Subtract 40 from 48 to get 8.
-3
Subtract 8 from 5 to get -3.