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Solve for w
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4w-17>15
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
4w>15+17
Add 17 to both sides.
4w>32
Add 15 and 17 to get 32.
w>\frac{32}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
w>8
Divide 32 by 4 to get 8.