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Simplifying 11w + -1(2 + -4w) = 13 + 2(w + -1) 11w + (2 * -1 + -4w * -1) = 13 + 2(w + -1) 11w + (-2 + 4w) = 13 + 2(w + -1) Reorder the terms: -2 + 11w + 4w = 13 + 2(w + -1) Combine like terms: 11w + 4w = 15w -2 + 15w = 13 + 2(w + -1) Reorder the terms: -2 + 15w = 13 + 2(-1 + w) -2 + 15w = 13 + (-1 * 2 + w * 2) -2 + 15w = 13 + (-2 + 2w) Combine like terms: 13 + -2 = 11 -2 + 15w = 11 + 2w Solving -2 + 15w = 11 + 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. -2 + 15w + -2w = 11 + 2w + -2w Combine like terms: 15w + -2w = 13w -2 + 13w = 11 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 13w = 11 + 0 -2 + 13w = 11 Add '2' to each side of the equation. -2 + 2 + 13w = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 13w = 11 + 2 13w = 11 + 2 Combine like terms: 11 + 2 = 13 13w = 13 Divide each side by '13'. w = 1 Simplifying w = 1
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