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Simplifying 2w + 5w + 11 = 31 Reorder the terms: 11 + 2w + 5w = 31 Combine like terms: 2w + 5w = 7w 11 + 7w = 31 Solving 11 + 7w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7w = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 7w = 31 + -11 7w = 31 + -11 Combine like terms: 31 + -11 = 20 7w = 20 Divide each side by '7'. w = 2.857142857 Simplifying w = 2.857142857
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