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Simplifying 11w + -1(12 + -4w) = 13 + 2(w + -1) 11w + (12 * -1 + -4w * -1) = 13 + 2(w + -1) 11w + (-12 + 4w) = 13 + 2(w + -1) Reorder the terms: -12 + 11w + 4w = 13 + 2(w + -1) Combine like terms: 11w + 4w = 15w -12 + 15w = 13 + 2(w + -1) Reorder the terms: -12 + 15w = 13 + 2(-1 + w) -12 + 15w = 13 + (-1 * 2 + w * 2) -12 + 15w = 13 + (-2 + 2w) Combine like terms: 13 + -2 = 11 -12 + 15w = 11 + 2w Solving -12 + 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. -12 + 15w + -2w = 11 + 2w + -2w Combine like terms: 15w + -2w = 13w -12 + 13w = 11 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + 13w = 11 + 0 -12 + 13w = 11 Add '12' to each side of the equation. -12 + 12 + 13w = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 13w = 11 + 12 13w = 11 + 12 Combine like terms: 11 + 12 = 23 13w = 23 Divide each side by '13'. w = 1.769230769 Simplifying w = 1.769230769
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