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3-\left(8-10-\left(9-2\right)\right)
Divide 9 by 3 to get 3.
3-\left(-2-\left(9-2\right)\right)
Subtract 10 from 8 to get -2.
3-\left(-2-7\right)
Subtract 2 from 9 to get 7.
3-\left(-9\right)
Subtract 7 from -2 to get -9.
3+9
The opposite of -9 is 9.
12
Add 3 and 9 to get 12.