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Simplifying 6(9 + w) = 5(2 + w) (9 * 6 + w * 6) = 5(2 + w) (54 + 6w) = 5(2 + w) 54 + 6w = (2 * 5 + w * 5) 54 + 6w = (10 + 5w) Solving 54 + 6w = 10 + 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. 54 + 6w + -5w = 10 + 5w + -5w Combine like terms: 6w + -5w = 1w 54 + 1w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 54 + 1w = 10 + 0 54 + 1w = 10 Add '-54' to each side of the equation. 54 + -54 + 1w = 10 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = 10 + -54 1w = 10 + -54 Combine like terms: 10 + -54 = -44 1w = -44 Divide each side by '1'. w = -44 Simplifying w = -44
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