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