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Simplifying 4(2 + w) = 3(5 + w) (2 * 4 + w * 4) = 3(5 + w) (8 + 4w) = 3(5 + w) 8 + 4w = (5 * 3 + w * 3) 8 + 4w = (15 + 3w) Solving 8 + 4w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + 4w + -3w = 15 + 3w + -3w Combine like terms: 4w + -3w = 1w 8 + 1w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 1w = 15 + 0 8 + 1w = 15 Add '-8' to each side of the equation. 8 + -8 + 1w = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 15 + -8 1w = 15 + -8 Combine like terms: 15 + -8 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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