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|-5|-|-3+12|
Subtract 3 from -2 to get -5.
5-|-3+12|
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.
5-|9|
Add -3 and 12 to get 9.
5-9
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 9 is 9.
-4
Subtract 9 from 5 to get -4.