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Simplifying 31 = -9z + 24 Reorder the terms: 31 = 24 + -9z Solving 31 = 24 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 31 + 9z = 24 + -9z + 9z Combine like terms: -9z + 9z = 0 31 + 9z = 24 + 0 31 + 9z = 24 Add '-31' to each side of the equation. 31 + -31 + 9z = 24 + -31 Combine like terms: 31 + -31 = 0 0 + 9z = 24 + -31 9z = 24 + -31 Combine like terms: 24 + -31 = -7 9z = -7 Divide each side by '9'. z = -0.7777777778 Simplifying z = -0.7777777778

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