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Simplifying -9(w + 1) = 2w + -20 Reorder the terms: -9(1 + w) = 2w + -20 (1 * -9 + w * -9) = 2w + -20 (-9 + -9w) = 2w + -20 Reorder the terms: -9 + -9w = -20 + 2w Solving -9 + -9w = -20 + 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. -9 + -9w + -2w = -20 + 2w + -2w Combine like terms: -9w + -2w = -11w -9 + -11w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + -11w = -20 + 0 -9 + -11w = -20 Add '9' to each side of the equation. -9 + 9 + -11w = -20 + 9 Combine like terms: -9 + 9 = 0 0 + -11w = -20 + 9 -11w = -20 + 9 Combine like terms: -20 + 9 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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