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-1-\left(1-\left(0-\left(-1-1\right)\right)\right)
Subtract 1 from 1 to get 0.
-1-\left(1-\left(0-\left(-2\right)\right)\right)
Subtract 1 from -1 to get -2.
-1-\left(1-\left(0+2\right)\right)
The opposite of -2 is 2.
-1-\left(1-2\right)
Add 0 and 2 to get 2.
-1-\left(-1\right)
Subtract 2 from 1 to get -1.
-1+1
The opposite of -1 is 1.
0
Add -1 and 1 to get 0.