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Simplifying 0.8 + 3z = 0.5z + 1 Reorder the terms: 0.8 + 3z = 1 + 0.5z Solving 0.8 + 3z = 1 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. 0.8 + 3z + -0.5z = 1 + 0.5z + -0.5z Combine like terms: 3z + -0.5z = 2.5z 0.8 + 2.5z = 1 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 0.8 + 2.5z = 1 + 0.0 0.8 + 2.5z = 1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 2.5z = 1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 2.5z = 1 + -0.8 2.5z = 1 + -0.8 Combine like terms: 1 + -0.8 = 0.2 2.5z = 0.2 Divide each side by '2.5'. z = 0.08 Simplifying z = 0.08
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