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Simplifying 19z + 31 = 26z + -74 Reorder the terms: 31 + 19z = 26z + -74 Reorder the terms: 31 + 19z = -74 + 26z Solving 31 + 19z = -74 + 26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26z' to each side of the equation. 31 + 19z + -26z = -74 + 26z + -26z Combine like terms: 19z + -26z = -7z 31 + -7z = -74 + 26z + -26z Combine like terms: 26z + -26z = 0 31 + -7z = -74 + 0 31 + -7z = -74 Add '-31' to each side of the equation. 31 + -31 + -7z = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -7z = -74 + -31 -7z = -74 + -31 Combine like terms: -74 + -31 = -105 -7z = -105 Divide each side by '-7'. z = 15 Simplifying z = 15
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