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Simplifying 3(3w + 7) = 78 Reorder the terms: 3(7 + 3w) = 78 (7 * 3 + 3w * 3) = 78 (21 + 9w) = 78 Solving 21 + 9w = 78 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9w = 78 + -21 Combine like terms: 21 + -21 = 0 0 + 9w = 78 + -21 9w = 78 + -21 Combine like terms: 78 + -21 = 57 9w = 57 Divide each side by '9'. w = 6.333333333 Simplifying w = 6.333333333
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