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Simplifying 31 = 42 + -1w Solving 31 = 42 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 31 + w = 42 + -1w + w Combine like terms: -1w + w = 0 31 + w = 42 + 0 31 + w = 42 Add '-31' to each side of the equation. 31 + -31 + w = 42 + -31 Combine like terms: 31 + -31 = 0 0 + w = 42 + -31 w = 42 + -31 Combine like terms: 42 + -31 = 11 w = 11 Simplifying w = 11
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