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Simplifying 6(w + 3) = 5(w + 6) Reorder the terms: 6(3 + w) = 5(w + 6) (3 * 6 + w * 6) = 5(w + 6) (18 + 6w) = 5(w + 6) Reorder the terms: 18 + 6w = 5(6 + w) 18 + 6w = (6 * 5 + w * 5) 18 + 6w = (30 + 5w) Solving 18 + 6w = 30 + 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 = 30 + 5w + -5w Combine like terms: 6w + -5w = 1w 18 + 1w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + 1w = 30 + 0 18 + 1w = 30 Add '-18' to each side of the equation. 18 + -18 + 1w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 30 + -18 1w = 30 + -18 Combine like terms: 30 + -18 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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