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6-\left(4-2\left(5-12+1\right)\right)
Multiply 4 and 3 to get 12.
6-\left(4-2\left(-7+1\right)\right)
Subtract 12 from 5 to get -7.
6-\left(4-2\left(-6\right)\right)
Add -7 and 1 to get -6.
6-\left(4-\left(-12\right)\right)
Multiply 2 and -6 to get -12.
6-\left(4+12\right)
The opposite of -12 is 12.
6-16
Add 4 and 12 to get 16.
-10
Subtract 16 from 6 to get -10.