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Simplifying 5w = 2(4 + 2w) + 10 5w = (4 * 2 + 2w * 2) + 10 5w = (8 + 4w) + 10 Reorder the terms: 5w = 8 + 10 + 4w Combine like terms: 8 + 10 = 18 5w = 18 + 4w Solving 5w = 18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5w + -4w = 18 + 4w + -4w Combine like terms: 5w + -4w = 1w 1w = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 1w = 18 + 0 1w = 18 Divide each side by '1'. w = 18 Simplifying w = 18
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