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-51+3\left(15-\left(6\times 5-7\times 5\right)\right)
Add -3 and 8 to get 5.
-51+3\left(15-\left(30-7\times 5\right)\right)
Multiply 6 and 5 to get 30.
-51+3\left(15-\left(30-35\right)\right)
Multiply 7 and 5 to get 35.
-51+3\left(15-\left(-5\right)\right)
Subtract 35 from 30 to get -5.
-51+3\left(15+5\right)
The opposite of -5 is 5.
-51+3\times 20
Add 15 and 5 to get 20.
-51+60
Multiply 3 and 20 to get 60.
9
Add -51 and 60 to get 9.