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5-\left(5-\left(1-9\right)-3+12\right)+4
Subtract 2 from 7 to get 5.
5-\left(5-\left(-8\right)-3+12\right)+4
Subtract 9 from 1 to get -8.
5-\left(5+8-3+12\right)+4
The opposite of -8 is 8.
5-\left(13-3+12\right)+4
Add 5 and 8 to get 13.
5-\left(10+12\right)+4
Subtract 3 from 13 to get 10.
5-22+4
Add 10 and 12 to get 22.
-17+4
Subtract 22 from 5 to get -17.
-13
Add -17 and 4 to get -13.