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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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