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Simplifying -9(w + -2) = 2w + 7 Reorder the terms: -9(-2 + w) = 2w + 7 (-2 * -9 + w * -9) = 2w + 7 (18 + -9w) = 2w + 7 Reorder the terms: 18 + -9w = 7 + 2w Solving 18 + -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. 18 + -9w + -2w = 7 + 2w + -2w Combine like terms: -9w + -2w = -11w 18 + -11w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + -11w = 7 + 0 18 + -11w = 7 Add '-18' to each side of the equation. 18 + -18 + -11w = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -11w = 7 + -18 -11w = 7 + -18 Combine like terms: 7 + -18 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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