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-75-\left(5-\left(10-7-8\right)\times 3\right)
Subtract 40 from -35 to get -75.
-75-\left(5-\left(3-8\right)\times 3\right)
Subtract 7 from 10 to get 3.
-75-\left(5-\left(-5\times 3\right)\right)
Subtract 8 from 3 to get -5.
-75-\left(5-\left(-15\right)\right)
Multiply -5 and 3 to get -15.
-75-\left(5+15\right)
The opposite of -15 is 15.
-75-20
Add 5 and 15 to get 20.
-95
Subtract 20 from -75 to get -95.