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Simplifying 9w + 7 + -3w = 31 Reorder the terms: 7 + 9w + -3w = 31 Combine like terms: 9w + -3w = 6w 7 + 6w = 31 Solving 7 + 6w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6w = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 31 + -7 6w = 31 + -7 Combine like terms: 31 + -7 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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