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Simplifying 9(w + -9) = 9 + 8w Reorder the terms: 9(-9 + w) = 9 + 8w (-9 * 9 + w * 9) = 9 + 8w (-81 + 9w) = 9 + 8w Solving -81 + 9w = 9 + 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. -81 + 9w + -8w = 9 + 8w + -8w Combine like terms: 9w + -8w = 1w -81 + 1w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 -81 + 1w = 9 + 0 -81 + 1w = 9 Add '81' to each side of the equation. -81 + 81 + 1w = 9 + 81 Combine like terms: -81 + 81 = 0 0 + 1w = 9 + 81 1w = 9 + 81 Combine like terms: 9 + 81 = 90 1w = 90 Divide each side by '1'. w = 90 Simplifying w = 90
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