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Simplifying 6(2 + w) = 5(3 + w) (2 * 6 + w * 6) = 5(3 + w) (12 + 6w) = 5(3 + w) 12 + 6w = (3 * 5 + w * 5) 12 + 6w = (15 + 5w) Solving 12 + 6w = 15 + 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. 12 + 6w + -5w = 15 + 5w + -5w Combine like terms: 6w + -5w = 1w 12 + 1w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + 1w = 15 + 0 12 + 1w = 15 Add '-12' to each side of the equation. 12 + -12 + 1w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 15 + -12 1w = 15 + -12 Combine like terms: 15 + -12 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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