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Simplifying 9(6 + w) = 8(3 + w) (6 * 9 + w * 9) = 8(3 + w) (54 + 9w) = 8(3 + w) 54 + 9w = (3 * 8 + w * 8) 54 + 9w = (24 + 8w) Solving 54 + 9w = 24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 54 + 9w + -8w = 24 + 8w + -8w Combine like terms: 9w + -8w = 1w 54 + 1w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 54 + 1w = 24 + 0 54 + 1w = 24 Add '-54' to each side of the equation. 54 + -54 + 1w = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = 24 + -54 1w = 24 + -54 Combine like terms: 24 + -54 = -30 1w = -30 Divide each side by '1'. w = -30 Simplifying w = -30
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