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Simplifying w + 31 = 2w Reorder the terms: 31 + w = 2w Solving 31 + w = 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. 31 + w + -2w = 2w + -2w Combine like terms: w + -2w = -1w 31 + -1w = 2w + -2w Combine like terms: 2w + -2w = 0 31 + -1w = 0 Add '-31' to each side of the equation. 31 + -31 + -1w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1w = 0 + -31 -1w = 0 + -31 Combine like terms: 0 + -31 = -31 -1w = -31 Divide each side by '-1'. w = 31 Simplifying w = 31
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