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Simplifying 7w + -6 + 2(2w + 5) = -4(w + 2) Reorder the terms: 7w + -6 + 2(5 + 2w) = -4(w + 2) 7w + -6 + (5 * 2 + 2w * 2) = -4(w + 2) 7w + -6 + (10 + 4w) = -4(w + 2) Reorder the terms: -6 + 10 + 7w + 4w = -4(w + 2) Combine like terms: -6 + 10 = 4 4 + 7w + 4w = -4(w + 2) Combine like terms: 7w + 4w = 11w 4 + 11w = -4(w + 2) Reorder the terms: 4 + 11w = -4(2 + w) 4 + 11w = (2 * -4 + w * -4) 4 + 11w = (-8 + -4w) Solving 4 + 11w = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4 + 11w + 4w = -8 + -4w + 4w Combine like terms: 11w + 4w = 15w 4 + 15w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 15w = -8 + 0 4 + 15w = -8 Add '-4' to each side of the equation. 4 + -4 + 15w = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 15w = -8 + -4 15w = -8 + -4 Combine like terms: -8 + -4 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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