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Simplifying 3w + 9 + -8w = -31 Reorder the terms: 9 + 3w + -8w = -31 Combine like terms: 3w + -8w = -5w 9 + -5w = -31 Solving 9 + -5w = -31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5w = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = -31 + -9 -5w = -31 + -9 Combine like terms: -31 + -9 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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