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|1+11-15-\left(5+13+1\right)+8|
Subtract 2 from 3 to get 1.
|12-15-\left(5+13+1\right)+8|
Add 1 and 11 to get 12.
|-3-\left(5+13+1\right)+8|
Subtract 15 from 12 to get -3.
|-3-\left(18+1\right)+8|
Add 5 and 13 to get 18.
|-3-19+8|
Add 18 and 1 to get 19.
|-22+8|
Subtract 19 from -3 to get -22.
|-14|
Add -22 and 8 to get -14.
14
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -14 is 14.