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Simplifying 2(5w + 2) = 4(2w + -2) Reorder the terms: 2(2 + 5w) = 4(2w + -2) (2 * 2 + 5w * 2) = 4(2w + -2) (4 + 10w) = 4(2w + -2) Reorder the terms: 4 + 10w = 4(-2 + 2w) 4 + 10w = (-2 * 4 + 2w * 4) 4 + 10w = (-8 + 8w) Solving 4 + 10w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 4 + 10w + -8w = -8 + 8w + -8w Combine like terms: 10w + -8w = 2w 4 + 2w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + 2w = -8 + 0 4 + 2w = -8 Add '-4' to each side of the equation. 4 + -4 + 2w = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = -8 + -4 2w = -8 + -4 Combine like terms: -8 + -4 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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