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Simplifying 11w + -1(2 + -4w) = 13 + 3(w + -1) 11w + (2 * -1 + -4w * -1) = 13 + 3(w + -1) 11w + (-2 + 4w) = 13 + 3(w + -1) Reorder the terms: -2 + 11w + 4w = 13 + 3(w + -1) Combine like terms: 11w + 4w = 15w -2 + 15w = 13 + 3(w + -1) Reorder the terms: -2 + 15w = 13 + 3(-1 + w) -2 + 15w = 13 + (-1 * 3 + w * 3) -2 + 15w = 13 + (-3 + 3w) Combine like terms: 13 + -3 = 10 -2 + 15w = 10 + 3w Solving -2 + 15w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 15w + -3w = 10 + 3w + -3w Combine like terms: 15w + -3w = 12w -2 + 12w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 12w = 10 + 0 -2 + 12w = 10 Add '2' to each side of the equation. -2 + 2 + 12w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12w = 10 + 2 12w = 10 + 2 Combine like terms: 10 + 2 = 12 12w = 12 Divide each side by '12'. w = 1 Simplifying w = 1
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