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Simplifying w + -8 + 2(6w + 6) = -2(w + 1) Reorder the terms: w + -8 + 2(6 + 6w) = -2(w + 1) w + -8 + (6 * 2 + 6w * 2) = -2(w + 1) w + -8 + (12 + 12w) = -2(w + 1) Reorder the terms: -8 + 12 + w + 12w = -2(w + 1) Combine like terms: -8 + 12 = 4 4 + w + 12w = -2(w + 1) Combine like terms: w + 12w = 13w 4 + 13w = -2(w + 1) Reorder the terms: 4 + 13w = -2(1 + w) 4 + 13w = (1 * -2 + w * -2) 4 + 13w = (-2 + -2w) Solving 4 + 13w = -2 + -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. 4 + 13w + 2w = -2 + -2w + 2w Combine like terms: 13w + 2w = 15w 4 + 15w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 15w = -2 + 0 4 + 15w = -2 Add '-4' to each side of the equation. 4 + -4 + 15w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 15w = -2 + -4 15w = -2 + -4 Combine like terms: -2 + -4 = -6 15w = -6 Divide each side by '15'. w = -0.4 Simplifying w = -0.4
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