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\frac{-150}{6-\left(-4\right)-5}
Subtract 50 from -100 to get -150.
\frac{-150}{6+4-5}
The opposite of -4 is 4.
\frac{-150}{10-5}
Add 6 and 4 to get 10.
\frac{-150}{5}
Subtract 5 from 10 to get 5.
-30
Divide -150 by 5 to get -30.