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Simplifying 9(7 + w) = 8(8 + w) (7 * 9 + w * 9) = 8(8 + w) (63 + 9w) = 8(8 + w) 63 + 9w = (8 * 8 + w * 8) 63 + 9w = (64 + 8w) Solving 63 + 9w = 64 + 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. 63 + 9w + -8w = 64 + 8w + -8w Combine like terms: 9w + -8w = 1w 63 + 1w = 64 + 8w + -8w Combine like terms: 8w + -8w = 0 63 + 1w = 64 + 0 63 + 1w = 64 Add '-63' to each side of the equation. 63 + -63 + 1w = 64 + -63 Combine like terms: 63 + -63 = 0 0 + 1w = 64 + -63 1w = 64 + -63 Combine like terms: 64 + -63 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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