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Simplifying 5(3 + w) = 4(2 + w) (3 * 5 + w * 5) = 4(2 + w) (15 + 5w) = 4(2 + w) 15 + 5w = (2 * 4 + w * 4) 15 + 5w = (8 + 4w) Solving 15 + 5w = 8 + 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. 15 + 5w + -4w = 8 + 4w + -4w Combine like terms: 5w + -4w = 1w 15 + 1w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + 1w = 8 + 0 15 + 1w = 8 Add '-15' to each side of the equation. 15 + -15 + 1w = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 8 + -15 1w = 8 + -15 Combine like terms: 8 + -15 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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