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Simplifying 5w + (-17) + w = 31 5w + -17 + w = 31 Reorder the terms: -17 + 5w + w = 31 Combine like terms: 5w + w = 6w -17 + 6w = 31 Solving -17 + 6w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6w = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 6w = 31 + 17 6w = 31 + 17 Combine like terms: 31 + 17 = 48 6w = 48 Divide each side by '6'. w = 8 Simplifying w = 8
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