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3-\left(-9-\left(3+8\right)\right)-8
Subtract 5 from 8 to get 3.
3-\left(-9-11\right)-8
Add 3 and 8 to get 11.
3-\left(-20\right)-8
Subtract 11 from -9 to get -20.
3+20-8
The opposite of -20 is 20.
23-8
Add 3 and 20 to get 23.
15
Subtract 8 from 23 to get 15.