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-8w\geq -74+18
Add 18 to both sides.
-8w\geq -56
Add -74 and 18 to get -56.
w\leq \frac{-56}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
w\leq 7
Divide -56 by -8 to get 7.