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|12-5-\left(6+1\right)|
Add 4 and 8 to get 12.
|7-\left(6+1\right)|
Subtract 5 from 12 to get 7.
|7-7|
Add 6 and 1 to get 7.
|0|
Subtract 7 from 7 to get 0.
0
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0 is 0.