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-4+-3-\left(-7-\left(-12\right)-8+5\right)+3-2
Subtract 10 from -2 to get -12.
-4+-3-\left(-7+12-8+5\right)+3-2
The opposite of -12 is 12.
-4+-3-\left(5-8+5\right)+3-2
Add -7 and 12 to get 5.
-4+-3-\left(-3+5\right)+3-2
Subtract 8 from 5 to get -3.
-4-3-2+3-2
Add -3 and 5 to get 2.
-4-5+3-2
Subtract 2 from -3 to get -5.
-9+3-2
Subtract 5 from -4 to get -9.
-6-2
Add -9 and 3 to get -6.
-8
Subtract 2 from -6 to get -8.