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6\left(-4+9-27-14\right)-\left(-2\right)
Divide -32 by 8 to get -4.
6\left(5-27-14\right)-\left(-2\right)
Add -4 and 9 to get 5.
6\left(-22-14\right)-\left(-2\right)
Subtract 27 from 5 to get -22.
6\left(-36\right)-\left(-2\right)
Subtract 14 from -22 to get -36.
-216-\left(-2\right)
Multiply 6 and -36 to get -216.
-216+2
The opposite of -2 is 2.
-214
Add -216 and 2 to get -214.