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Simplifying 12z = 5z + 7 Reorder the terms: 12z = 7 + 5z Solving 12z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12z + -5z = 7 + 5z + -5z Combine like terms: 12z + -5z = 7z 7z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 7z = 7 + 0 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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