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Simplifying 6(3 + w) = 5(9 + w) (3 * 6 + w * 6) = 5(9 + w) (18 + 6w) = 5(9 + w) 18 + 6w = (9 * 5 + w * 5) 18 + 6w = (45 + 5w) Solving 18 + 6w = 45 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 18 + 6w + -5w = 45 + 5w + -5w Combine like terms: 6w + -5w = 1w 18 + 1w = 45 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + 1w = 45 + 0 18 + 1w = 45 Add '-18' to each side of the equation. 18 + -18 + 1w = 45 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 45 + -18 1w = 45 + -18 Combine like terms: 45 + -18 = 27 1w = 27 Divide each side by '1'. w = 27 Simplifying w = 27
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