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Simplifying 9w + 7 = 7w + 31 Reorder the terms: 7 + 9w = 7w + 31 Reorder the terms: 7 + 9w = 31 + 7w Solving 7 + 9w = 31 + 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. 7 + 9w + -7w = 31 + 7w + -7w Combine like terms: 9w + -7w = 2w 7 + 2w = 31 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + 2w = 31 + 0 7 + 2w = 31 Add '-7' to each side of the equation. 7 + -7 + 2w = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 31 + -7 2w = 31 + -7 Combine like terms: 31 + -7 = 24 2w = 24 Divide each side by '2'. w = 12 Simplifying w = 12
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