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Simplifying 3(6 + w) = 4(3 + w) (6 * 3 + w * 3) = 4(3 + w) (18 + 3w) = 4(3 + w) 18 + 3w = (3 * 4 + w * 4) 18 + 3w = (12 + 4w) Solving 18 + 3w = 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. 18 + 3w + -4w = 12 + 4w + -4w Combine like terms: 3w + -4w = -1w 18 + -1w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -1w = 12 + 0 18 + -1w = 12 Add '-18' to each side of the equation. 18 + -18 + -1w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 12 + -18 -1w = 12 + -18 Combine like terms: 12 + -18 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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