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Simplifying 4w + -5 + 4(2w + 2) = -2(w + 2) Reorder the terms: 4w + -5 + 4(2 + 2w) = -2(w + 2) 4w + -5 + (2 * 4 + 2w * 4) = -2(w + 2) 4w + -5 + (8 + 8w) = -2(w + 2) Reorder the terms: -5 + 8 + 4w + 8w = -2(w + 2) Combine like terms: -5 + 8 = 3 3 + 4w + 8w = -2(w + 2) Combine like terms: 4w + 8w = 12w 3 + 12w = -2(w + 2) Reorder the terms: 3 + 12w = -2(2 + w) 3 + 12w = (2 * -2 + w * -2) 3 + 12w = (-4 + -2w) Solving 3 + 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. 3 + 12w + 2w = -4 + -2w + 2w Combine like terms: 12w + 2w = 14w 3 + 14w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 3 + 14w = -4 + 0 3 + 14w = -4 Add '-3' to each side of the equation. 3 + -3 + 14w = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 14w = -4 + -3 14w = -4 + -3 Combine like terms: -4 + -3 = -7 14w = -7 Divide each side by '14'. w = -0.5 Simplifying w = -0.5
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