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17-\left(72-\left(-39\right)-27-51\right)
Subtract 23 from -16 to get -39.
17-\left(72+39-27-51\right)
The opposite of -39 is 39.
17-\left(111-27-51\right)
Add 72 and 39 to get 111.
17-\left(84-51\right)
Subtract 27 from 111 to get 84.
17-33
Subtract 51 from 84 to get 33.
-16
Subtract 33 from 17 to get -16.