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Simplifying 9w + 33 = 7w + 39 Reorder the terms: 33 + 9w = 7w + 39 Reorder the terms: 33 + 9w = 39 + 7w Solving 33 + 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. 33 + 9w + -7w = 39 + 7w + -7w Combine like terms: 9w + -7w = 2w 33 + 2w = 39 + 7w + -7w Combine like terms: 7w + -7w = 0 33 + 2w = 39 + 0 33 + 2w = 39 Add '-33' to each side of the equation. 33 + -33 + 2w = 39 + -33 Combine like terms: 33 + -33 = 0 0 + 2w = 39 + -33 2w = 39 + -33 Combine like terms: 39 + -33 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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