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