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-5+\lceil 5-\left(-2\right)\rceil
Subtract 8 from 3 to get -5.
-5+\lceil 5+2\rceil
The opposite of -2 is 2.
-5+\lceil 7\rceil
Add 5 and 2 to get 7.
-5+7
The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of 7 is 7.
2
Add -5 and 7 to get 2.