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6-13-\left(-6\right)-6-\left(-12+3-1\right)
Add 5 and 8 to get 13.
-7-\left(-6\right)-6-\left(-12+3-1\right)
Subtract 13 from 6 to get -7.
-7+6-6-\left(-12+3-1\right)
The opposite of -6 is 6.
-1-6-\left(-12+3-1\right)
Add -7 and 6 to get -1.
-7-\left(-12+3-1\right)
Subtract 6 from -1 to get -7.
-7-\left(-9-1\right)
Add -12 and 3 to get -9.
-7-\left(-10\right)
Subtract 1 from -9 to get -10.
-7+10
The opposite of -10 is 10.
3
Add -7 and 10 to get 3.