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Simplifying 5(w + 9) = 69 + 3w Reorder the terms: 5(9 + w) = 69 + 3w (9 * 5 + w * 5) = 69 + 3w (45 + 5w) = 69 + 3w Solving 45 + 5w = 69 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 45 + 5w + -3w = 69 + 3w + -3w Combine like terms: 5w + -3w = 2w 45 + 2w = 69 + 3w + -3w Combine like terms: 3w + -3w = 0 45 + 2w = 69 + 0 45 + 2w = 69 Add '-45' to each side of the equation. 45 + -45 + 2w = 69 + -45 Combine like terms: 45 + -45 = 0 0 + 2w = 69 + -45 2w = 69 + -45 Combine like terms: 69 + -45 = 24 2w = 24 Divide each side by '2'. w = 12 Simplifying w = 12
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