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100-3\left(5+4-3\left(7-6\right)\right)
Divide 8 by 2 to get 4.
100-3\left(9-3\left(7-6\right)\right)
Add 5 and 4 to get 9.
100-3\left(9-3\times 1\right)
Subtract 6 from 7 to get 1.
100-3\left(9-3\right)
Multiply 3 and 1 to get 3.
100-3\times 6
Subtract 3 from 9 to get 6.
100-18
Multiply 3 and 6 to get 18.
82
Subtract 18 from 100 to get 82.