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Simplifying 9w + 11 = 7w + 17 Reorder the terms: 11 + 9w = 7w + 17 Reorder the terms: 11 + 9w = 17 + 7w Solving 11 + 9w = 17 + 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. 11 + 9w + -7w = 17 + 7w + -7w Combine like terms: 9w + -7w = 2w 11 + 2w = 17 + 7w + -7w Combine like terms: 7w + -7w = 0 11 + 2w = 17 + 0 11 + 2w = 17 Add '-11' to each side of the equation. 11 + -11 + 2w = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 2w = 17 + -11 2w = 17 + -11 Combine like terms: 17 + -11 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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