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Simplifying 28 + -2(2w + 1) = 9w + -2(9 + w) Reorder the terms: 28 + -2(1 + 2w) = 9w + -2(9 + w) 28 + (1 * -2 + 2w * -2) = 9w + -2(9 + w) 28 + (-2 + -4w) = 9w + -2(9 + w) Combine like terms: 28 + -2 = 26 26 + -4w = 9w + -2(9 + w) 26 + -4w = 9w + (9 * -2 + w * -2) 26 + -4w = 9w + (-18 + -2w) Reorder the terms: 26 + -4w = -18 + 9w + -2w Combine like terms: 9w + -2w = 7w 26 + -4w = -18 + 7w Solving 26 + -4w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 26 + -4w + -7w = -18 + 7w + -7w Combine like terms: -4w + -7w = -11w 26 + -11w = -18 + 7w + -7w Combine like terms: 7w + -7w = 0 26 + -11w = -18 + 0 26 + -11w = -18 Add '-26' to each side of the equation. 26 + -26 + -11w = -18 + -26 Combine like terms: 26 + -26 = 0 0 + -11w = -18 + -26 -11w = -18 + -26 Combine like terms: -18 + -26 = -44 -11w = -44 Divide each side by '-11'. w = 4 Simplifying w = 4
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