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Simplifying 9(1 + w) = 8(1 + w) (1 * 9 + w * 9) = 8(1 + w) (9 + 9w) = 8(1 + w) 9 + 9w = (1 * 8 + w * 8) 9 + 9w = (8 + 8w) Solving 9 + 9w = 8 + 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. 9 + 9w + -8w = 8 + 8w + -8w Combine like terms: 9w + -8w = 1w 9 + 1w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + 1w = 8 + 0 9 + 1w = 8 Add '-9' to each side of the equation. 9 + -9 + 1w = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = 8 + -9 1w = 8 + -9 Combine like terms: 8 + -9 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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