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Simplifying 2(w + 6) = -2(5w + -5) + 8w Reorder the terms: 2(6 + w) = -2(5w + -5) + 8w (6 * 2 + w * 2) = -2(5w + -5) + 8w (12 + 2w) = -2(5w + -5) + 8w Reorder the terms: 12 + 2w = -2(-5 + 5w) + 8w 12 + 2w = (-5 * -2 + 5w * -2) + 8w 12 + 2w = (10 + -10w) + 8w Combine like terms: -10w + 8w = -2w 12 + 2w = 10 + -2w Solving 12 + 2w = 10 + -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. 12 + 2w + 2w = 10 + -2w + 2w Combine like terms: 2w + 2w = 4w 12 + 4w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 4w = 10 + 0 12 + 4w = 10 Add '-12' to each side of the equation. 12 + -12 + 4w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 10 + -12 4w = 10 + -12 Combine like terms: 10 + -12 = -2 4w = -2 Divide each side by '4'. w = -0.5 Simplifying w = -0.5
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