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Simplifying 2z + 8 = 9z + 2 Reorder the terms: 8 + 2z = 9z + 2 Reorder the terms: 8 + 2z = 2 + 9z Solving 8 + 2z = 2 + 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. 8 + 2z + -9z = 2 + 9z + -9z Combine like terms: 2z + -9z = -7z 8 + -7z = 2 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + -7z = 2 + 0 8 + -7z = 2 Add '-8' to each side of the equation. 8 + -8 + -7z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -7z = 2 + -8 -7z = 2 + -8 Combine like terms: 2 + -8 = -6 -7z = -6 Divide each side by '-7'. z = 0.8571428571 Simplifying z = 0.8571428571
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