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Simplifying 7w + 11w + 5w = 2w + 31 Combine like terms: 7w + 11w = 18w 18w + 5w = 2w + 31 Combine like terms: 18w + 5w = 23w 23w = 2w + 31 Reorder the terms: 23w = 31 + 2w Solving 23w = 31 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 23w + -2w = 31 + 2w + -2w Combine like terms: 23w + -2w = 21w 21w = 31 + 2w + -2w Combine like terms: 2w + -2w = 0 21w = 31 + 0 21w = 31 Divide each side by '21'. w = 1.476190476 Simplifying w = 1.476190476
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