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6-\left(-9+13-\left(8+17-12\right)\right)
Add -1 and 14 to get 13.
6-\left(-9+13-\left(25-12\right)\right)
Add 8 and 17 to get 25.
6-\left(-9+13-13\right)
Subtract 12 from 25 to get 13.
6-\left(-9+0\right)
Subtract 13 from 13 to get 0.
6-\left(-9\right)
Add -9 and 0 to get -9.
6+9
The opposite of -9 is 9.
15
Add 6 and 9 to get 15.