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|9-4\left(-3\right)+3|
Calculate -3 to the power of 2 and get 9.
|9-\left(-12\right)+3|
Multiply 4 and -3 to get -12.
|9+12+3|
The opposite of -12 is 12.
|21+3|
Add 9 and 12 to get 21.
|24|
Add 21 and 3 to get 24.
24
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 24 is 24.