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Simplifying w + -7 + 2(5w + 4) = -4(w + 2) Reorder the terms: w + -7 + 2(4 + 5w) = -4(w + 2) w + -7 + (4 * 2 + 5w * 2) = -4(w + 2) w + -7 + (8 + 10w) = -4(w + 2) Reorder the terms: -7 + 8 + w + 10w = -4(w + 2) Combine like terms: -7 + 8 = 1 1 + w + 10w = -4(w + 2) Combine like terms: w + 10w = 11w 1 + 11w = -4(w + 2) Reorder the terms: 1 + 11w = -4(2 + w) 1 + 11w = (2 * -4 + w * -4) 1 + 11w = (-8 + -4w) Solving 1 + 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. 1 + 11w + 4w = -8 + -4w + 4w Combine like terms: 11w + 4w = 15w 1 + 15w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 1 + 15w = -8 + 0 1 + 15w = -8 Add '-1' to each side of the equation. 1 + -1 + 15w = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 15w = -8 + -1 15w = -8 + -1 Combine like terms: -8 + -1 = -9 15w = -9 Divide each side by '15'. w = -0.6 Simplifying w = -0.6
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