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Simplifying -10 + 9w = 5w + 17 + 17 Reorder the terms: -10 + 9w = 17 + 17 + 5w Combine like terms: 17 + 17 = 34 -10 + 9w = 34 + 5w Solving -10 + 9w = 34 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -10 + 9w + -5w = 34 + 5w + -5w Combine like terms: 9w + -5w = 4w -10 + 4w = 34 + 5w + -5w Combine like terms: 5w + -5w = 0 -10 + 4w = 34 + 0 -10 + 4w = 34 Add '10' to each side of the equation. -10 + 10 + 4w = 34 + 10 Combine like terms: -10 + 10 = 0 0 + 4w = 34 + 10 4w = 34 + 10 Combine like terms: 34 + 10 = 44 4w = 44 Divide each side by '4'. w = 11 Simplifying w = 11
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