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3w-31\leq -6+8w
Use the distributive property to multiply -2 by 3-4w.
3w-31-8w\leq -6
Subtract 8w from both sides.
-5w-31\leq -6
Combine 3w and -8w to get -5w.
-5w\leq -6+31
Add 31 to both sides.
-5w\leq 25
Add -6 and 31 to get 25.
w\geq \frac{25}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
w\geq -5
Divide 25 by -5 to get -5.