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Simplifying 5w + -4 + 2(4w + 2) = -2(w + 3) Reorder the terms: 5w + -4 + 2(2 + 4w) = -2(w + 3) 5w + -4 + (2 * 2 + 4w * 2) = -2(w + 3) 5w + -4 + (4 + 8w) = -2(w + 3) Reorder the terms: -4 + 4 + 5w + 8w = -2(w + 3) Combine like terms: -4 + 4 = 0 0 + 5w + 8w = -2(w + 3) 5w + 8w = -2(w + 3) Combine like terms: 5w + 8w = 13w 13w = -2(w + 3) Reorder the terms: 13w = -2(3 + w) 13w = (3 * -2 + w * -2) 13w = (-6 + -2w) Solving 13w = -6 + -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. 13w + 2w = -6 + -2w + 2w Combine like terms: 13w + 2w = 15w 15w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 15w = -6 + 0 15w = -6 Divide each side by '15'. w = -0.4 Simplifying w = -0.4
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