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Simplifying 5w + 10 = 9w + 30 Reorder the terms: 10 + 5w = 9w + 30 Reorder the terms: 10 + 5w = 30 + 9w Solving 10 + 5w = 30 + 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. 10 + 5w + -9w = 30 + 9w + -9w Combine like terms: 5w + -9w = -4w 10 + -4w = 30 + 9w + -9w Combine like terms: 9w + -9w = 0 10 + -4w = 30 + 0 10 + -4w = 30 Add '-10' to each side of the equation. 10 + -10 + -4w = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 30 + -10 -4w = 30 + -10 Combine like terms: 30 + -10 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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