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Simplifying 5w + 9 = 9w + 10 Reorder the terms: 9 + 5w = 9w + 10 Reorder the terms: 9 + 5w = 10 + 9w Solving 9 + 5w = 10 + 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. 9 + 5w + -9w = 10 + 9w + -9w Combine like terms: 5w + -9w = -4w 9 + -4w = 10 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -4w = 10 + 0 9 + -4w = 10 Add '-9' to each side of the equation. 9 + -9 + -4w = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = 10 + -9 -4w = 10 + -9 Combine like terms: 10 + -9 = 1 -4w = 1 Divide each side by '-4'. w = -0.25 Simplifying w = -0.25
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