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Simplifying 2z + 31 = 7z + 26 Reorder the terms: 31 + 2z = 7z + 26 Reorder the terms: 31 + 2z = 26 + 7z Solving 31 + 2z = 26 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 31 + 2z + -7z = 26 + 7z + -7z Combine like terms: 2z + -7z = -5z 31 + -5z = 26 + 7z + -7z Combine like terms: 7z + -7z = 0 31 + -5z = 26 + 0 31 + -5z = 26 Add '-31' to each side of the equation. 31 + -31 + -5z = 26 + -31 Combine like terms: 31 + -31 = 0 0 + -5z = 26 + -31 -5z = 26 + -31 Combine like terms: 26 + -31 = -5 -5z = -5 Divide each side by '-5'. z = 1 Simplifying z = 1
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