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1-\left(2+2\right)-\left(5-\left(6-3+1\right)-2\right)
Subtract 3 from 5 to get 2.
1-4-\left(5-\left(6-3+1\right)-2\right)
Add 2 and 2 to get 4.
-3-\left(5-\left(6-3+1\right)-2\right)
Subtract 4 from 1 to get -3.
-3-\left(5-\left(3+1\right)-2\right)
Subtract 3 from 6 to get 3.
-3-\left(5-4-2\right)
Add 3 and 1 to get 4.
-3-\left(1-2\right)
Subtract 4 from 5 to get 1.
-3-\left(-1\right)
Subtract 2 from 1 to get -1.
-3+1
The opposite of -1 is 1.
-2
Add -3 and 1 to get -2.