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42-6-23-\left(3-25+13\right)-100
Add 8 and 34 to get 42.
36-23-\left(3-25+13\right)-100
Subtract 6 from 42 to get 36.
13-\left(3-25+13\right)-100
Subtract 23 from 36 to get 13.
13-\left(-22+13\right)-100
Subtract 25 from 3 to get -22.
13-\left(-9\right)-100
Add -22 and 13 to get -9.
13+9-100
The opposite of -9 is 9.
22-100
Add 13 and 9 to get 22.
-78
Subtract 100 from 22 to get -78.