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Simplifying 9(w + 3) = 7w + 39 Reorder the terms: 9(3 + w) = 7w + 39 (3 * 9 + w * 9) = 7w + 39 (27 + 9w) = 7w + 39 Reorder the terms: 27 + 9w = 39 + 7w Solving 27 + 9w = 39 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 27 + 9w + -7w = 39 + 7w + -7w Combine like terms: 9w + -7w = 2w 27 + 2w = 39 + 7w + -7w Combine like terms: 7w + -7w = 0 27 + 2w = 39 + 0 27 + 2w = 39 Add '-27' to each side of the equation. 27 + -27 + 2w = 39 + -27 Combine like terms: 27 + -27 = 0 0 + 2w = 39 + -27 2w = 39 + -27 Combine like terms: 39 + -27 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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