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6w-5-8w\leq -11
Subtract 8w from both sides.
-2w-5\leq -11
Combine 6w and -8w to get -2w.
-2w\leq -11+5
Add 5 to both sides.
-2w\leq -6
Add -11 and 5 to get -6.
w\geq \frac{-6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
w\geq 3
Divide -6 by -2 to get 3.