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Simplifying 2z + 31 = 9z + -25 Reorder the terms: 31 + 2z = 9z + -25 Reorder the terms: 31 + 2z = -25 + 9z Solving 31 + 2z = -25 + 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 + 2z + -9z = -25 + 9z + -9z Combine like terms: 2z + -9z = -7z 31 + -7z = -25 + 9z + -9z Combine like terms: 9z + -9z = 0 31 + -7z = -25 + 0 31 + -7z = -25 Add '-31' to each side of the equation. 31 + -31 + -7z = -25 + -31 Combine like terms: 31 + -31 = 0 0 + -7z = -25 + -31 -7z = -25 + -31 Combine like terms: -25 + -31 = -56 -7z = -56 Divide each side by '-7'. z = 8 Simplifying z = 8
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