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5-\left(61-\left(12-8\right)-3+6\right)
Subtract 2 from 63 to get 61.
5-\left(61-4-3+6\right)
Subtract 8 from 12 to get 4.
5-\left(57-3+6\right)
Subtract 4 from 61 to get 57.
5-\left(54+6\right)
Subtract 3 from 57 to get 54.
5-60
Add 54 and 6 to get 60.
-55
Subtract 60 from 5 to get -55.