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Simplifying 2w + -6 + 5(2w + 2) = -2(w + 2) Reorder the terms: 2w + -6 + 5(2 + 2w) = -2(w + 2) 2w + -6 + (2 * 5 + 2w * 5) = -2(w + 2) 2w + -6 + (10 + 10w) = -2(w + 2) Reorder the terms: -6 + 10 + 2w + 10w = -2(w + 2) Combine like terms: -6 + 10 = 4 4 + 2w + 10w = -2(w + 2) Combine like terms: 2w + 10w = 12w 4 + 12w = -2(w + 2) Reorder the terms: 4 + 12w = -2(2 + w) 4 + 12w = (2 * -2 + w * -2) 4 + 12w = (-4 + -2w) Solving 4 + 12w = -4 + -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 + 12w + 2w = -4 + -2w + 2w Combine like terms: 12w + 2w = 14w 4 + 14w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 14w = -4 + 0 4 + 14w = -4 Add '-4' to each side of the equation. 4 + -4 + 14w = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 14w = -4 + -4 14w = -4 + -4 Combine like terms: -4 + -4 = -8 14w = -8 Divide each side by '14'. w = -0.5714285714 Simplifying w = -0.5714285714
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