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Simplifying 8.3z = 4.1z + 10.2 Reorder the terms: 8.3z = 10.2 + 4.1z Solving 8.3z = 10.2 + 4.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4.1z' to each side of the equation. 8.3z + -4.1z = 10.2 + 4.1z + -4.1z Combine like terms: 8.3z + -4.1z = 4.2z 4.2z = 10.2 + 4.1z + -4.1z Combine like terms: 4.1z + -4.1z = 0.0 4.2z = 10.2 + 0.0 4.2z = 10.2 Divide each side by '4.2'. z = 2.428571429 Simplifying z = 2.428571429
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