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Simplifying 31 = 5w + -9 Reorder the terms: 31 = -9 + 5w Solving 31 = -9 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 31 + -5w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 31 + -5w = -9 + 0 31 + -5w = -9 Add '-31' to each side of the equation. 31 + -31 + -5w = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -5w = -9 + -31 -5w = -9 + -31 Combine like terms: -9 + -31 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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