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Simplifying 5(2 + w) = 4(3 + w) (2 * 5 + w * 5) = 4(3 + w) (10 + 5w) = 4(3 + w) 10 + 5w = (3 * 4 + w * 4) 10 + 5w = (12 + 4w) Solving 10 + 5w = 12 + 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. 10 + 5w + -4w = 12 + 4w + -4w Combine like terms: 5w + -4w = 1w 10 + 1w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 1w = 12 + 0 10 + 1w = 12 Add '-10' to each side of the equation. 10 + -10 + 1w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 12 + -10 1w = 12 + -10 Combine like terms: 12 + -10 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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