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Simplifying 4(6 + w) = 3(7 + w) (6 * 4 + w * 4) = 3(7 + w) (24 + 4w) = 3(7 + w) 24 + 4w = (7 * 3 + w * 3) 24 + 4w = (21 + 3w) Solving 24 + 4w = 21 + 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. 24 + 4w + -3w = 21 + 3w + -3w Combine like terms: 4w + -3w = 1w 24 + 1w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 24 + 1w = 21 + 0 24 + 1w = 21 Add '-24' to each side of the equation. 24 + -24 + 1w = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 21 + -24 1w = 21 + -24 Combine like terms: 21 + -24 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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