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Simplifying 21 + -2(2w + 1) = 13w + -2(13 + w) Reorder the terms: 21 + -2(1 + 2w) = 13w + -2(13 + w) 21 + (1 * -2 + 2w * -2) = 13w + -2(13 + w) 21 + (-2 + -4w) = 13w + -2(13 + w) Combine like terms: 21 + -2 = 19 19 + -4w = 13w + -2(13 + w) 19 + -4w = 13w + (13 * -2 + w * -2) 19 + -4w = 13w + (-26 + -2w) Reorder the terms: 19 + -4w = -26 + 13w + -2w Combine like terms: 13w + -2w = 11w 19 + -4w = -26 + 11w Solving 19 + -4w = -26 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 19 + -4w + -11w = -26 + 11w + -11w Combine like terms: -4w + -11w = -15w 19 + -15w = -26 + 11w + -11w Combine like terms: 11w + -11w = 0 19 + -15w = -26 + 0 19 + -15w = -26 Add '-19' to each side of the equation. 19 + -19 + -15w = -26 + -19 Combine like terms: 19 + -19 = 0 0 + -15w = -26 + -19 -15w = -26 + -19 Combine like terms: -26 + -19 = -45 -15w = -45 Divide each side by '-15'. w = 3 Simplifying w = 3
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