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Simplifying 9w + 8 = 4w + 18 Reorder the terms: 8 + 9w = 4w + 18 Reorder the terms: 8 + 9w = 18 + 4w Solving 8 + 9w = 18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + 9w + -4w = 18 + 4w + -4w Combine like terms: 9w + -4w = 5w 8 + 5w = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 5w = 18 + 0 8 + 5w = 18 Add '-8' to each side of the equation. 8 + -8 + 5w = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 18 + -8 5w = 18 + -8 Combine like terms: 18 + -8 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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