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1609-\frac{-84\left(-7\right)}{12}-\left(-37\right)^{2}
Express -84\left(-\frac{7}{12}\right) as a single fraction.
1609-\frac{588}{12}-\left(-37\right)^{2}
Multiply -84 and -7 to get 588.
1609-49-\left(-37\right)^{2}
Divide 588 by 12 to get 49.
1560-\left(-37\right)^{2}
Subtract 49 from 1609 to get 1560.
1560-1369
Calculate -37 to the power of 2 and get 1369.
191
Subtract 1369 from 1560 to get 191.