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|2-4\left(-3+4\right)-2|
Subtract 1 from -2 to get -3.
|2-4\times 1-2|
Add -3 and 4 to get 1.
|2-4-2|
Multiply 4 and 1 to get 4.
|-2-2|
Subtract 4 from 2 to get -2.
|-4|
Subtract 2 from -2 to get -4.
4
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.