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Simplifying 9(9 + w) = 8(w + -6) (9 * 9 + w * 9) = 8(w + -6) (81 + 9w) = 8(w + -6) Reorder the terms: 81 + 9w = 8(-6 + w) 81 + 9w = (-6 * 8 + w * 8) 81 + 9w = (-48 + 8w) Solving 81 + 9w = -48 + 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 = -48 + 8w + -8w Combine like terms: 9w + -8w = 1w 81 + 1w = -48 + 8w + -8w Combine like terms: 8w + -8w = 0 81 + 1w = -48 + 0 81 + 1w = -48 Add '-81' to each side of the equation. 81 + -81 + 1w = -48 + -81 Combine like terms: 81 + -81 = 0 0 + 1w = -48 + -81 1w = -48 + -81 Combine like terms: -48 + -81 = -129 1w = -129 Divide each side by '1'. w = -129 Simplifying w = -129
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