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Simplifying 9w + 3 = 7w + 27 Reorder the terms: 3 + 9w = 7w + 27 Reorder the terms: 3 + 9w = 27 + 7w Solving 3 + 9w = 27 + 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. 3 + 9w + -7w = 27 + 7w + -7w Combine like terms: 9w + -7w = 2w 3 + 2w = 27 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + 2w = 27 + 0 3 + 2w = 27 Add '-3' to each side of the equation. 3 + -3 + 2w = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 27 + -3 2w = 27 + -3 Combine like terms: 27 + -3 = 24 2w = 24 Divide each side by '2'. w = 12 Simplifying w = 12
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