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Simplifying 5w + 5 = 9w + 17 Reorder the terms: 5 + 5w = 9w + 17 Reorder the terms: 5 + 5w = 17 + 9w Solving 5 + 5w = 17 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 5 + 5w + -9w = 17 + 9w + -9w Combine like terms: 5w + -9w = -4w 5 + -4w = 17 + 9w + -9w Combine like terms: 9w + -9w = 0 5 + -4w = 17 + 0 5 + -4w = 17 Add '-5' to each side of the equation. 5 + -5 + -4w = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 17 + -5 -4w = 17 + -5 Combine like terms: 17 + -5 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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