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5-\left(-6\right)-\left(-3\right)+10-\left(-12\right)
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+6-\left(-3\right)+10-\left(-12\right)
The opposite of -6 is 6.
11-\left(-3\right)+10-\left(-12\right)
Add 5 and 6 to get 11.
11+3+10-\left(-12\right)
The opposite of -3 is 3.
14+10-\left(-12\right)
Add 11 and 3 to get 14.
24-\left(-12\right)
Add 14 and 10 to get 24.
24+12
The opposite of -12 is 12.
36
Add 24 and 12 to get 36.