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-\left(1-3\right)-\left(4-5+6\right)-7+8
Add -1 and 2 to get 1.
-\left(-2\right)-\left(4-5+6\right)-7+8
Subtract 3 from 1 to get -2.
2-\left(4-5+6\right)-7+8
The opposite of -2 is 2.
2-\left(-1+6\right)-7+8
Subtract 5 from 4 to get -1.
2-5-7+8
Add -1 and 6 to get 5.
-3-7+8
Subtract 5 from 2 to get -3.
-10+8
Subtract 7 from -3 to get -10.
-2
Add -10 and 8 to get -2.