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Simplifying 4(2w + 2) = 2(5w + 7) Reorder the terms: 4(2 + 2w) = 2(5w + 7) (2 * 4 + 2w * 4) = 2(5w + 7) (8 + 8w) = 2(5w + 7) Reorder the terms: 8 + 8w = 2(7 + 5w) 8 + 8w = (7 * 2 + 5w * 2) 8 + 8w = (14 + 10w) Solving 8 + 8w = 14 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 8 + 8w + -10w = 14 + 10w + -10w Combine like terms: 8w + -10w = -2w 8 + -2w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 8 + -2w = 14 + 0 8 + -2w = 14 Add '-8' to each side of the equation. 8 + -8 + -2w = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 14 + -8 -2w = 14 + -8 Combine like terms: 14 + -8 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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