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Simplifying -3w + 31 = -8w + 56 Reorder the terms: 31 + -3w = -8w + 56 Reorder the terms: 31 + -3w = 56 + -8w Solving 31 + -3w = 56 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 31 + -3w + 8w = 56 + -8w + 8w Combine like terms: -3w + 8w = 5w 31 + 5w = 56 + -8w + 8w Combine like terms: -8w + 8w = 0 31 + 5w = 56 + 0 31 + 5w = 56 Add '-31' to each side of the equation. 31 + -31 + 5w = 56 + -31 Combine like terms: 31 + -31 = 0 0 + 5w = 56 + -31 5w = 56 + -31 Combine like terms: 56 + -31 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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