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Simplifying 9(w + 9) = -2w + -7 Reorder the terms: 9(9 + w) = -2w + -7 (9 * 9 + w * 9) = -2w + -7 (81 + 9w) = -2w + -7 Reorder the terms: 81 + 9w = -7 + -2w Solving 81 + 9w = -7 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 81 + 9w + 2w = -7 + -2w + 2w Combine like terms: 9w + 2w = 11w 81 + 11w = -7 + -2w + 2w Combine like terms: -2w + 2w = 0 81 + 11w = -7 + 0 81 + 11w = -7 Add '-81' to each side of the equation. 81 + -81 + 11w = -7 + -81 Combine like terms: 81 + -81 = 0 0 + 11w = -7 + -81 11w = -7 + -81 Combine like terms: -7 + -81 = -88 11w = -88 Divide each side by '11'. w = -8 Simplifying w = -8
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