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Simplifying 9(2 + w) = 8(1 + w) (2 * 9 + w * 9) = 8(1 + w) (18 + 9w) = 8(1 + w) 18 + 9w = (1 * 8 + w * 8) 18 + 9w = (8 + 8w) Solving 18 + 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. 18 + 9w + -8w = 8 + 8w + -8w Combine like terms: 9w + -8w = 1w 18 + 1w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 18 + 1w = 8 + 0 18 + 1w = 8 Add '-18' to each side of the equation. 18 + -18 + 1w = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 8 + -18 1w = 8 + -18 Combine like terms: 8 + -18 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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