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Simplifying 0.05z + 0.2 = 0.15z + 10.5 Reorder the terms: 0.2 + 0.05z = 0.15z + 10.5 Reorder the terms: 0.2 + 0.05z = 10.5 + 0.15z Solving 0.2 + 0.05z = 10.5 + 0.15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.15z' to each side of the equation. 0.2 + 0.05z + -0.15z = 10.5 + 0.15z + -0.15z Combine like terms: 0.05z + -0.15z = -0.1z 0.2 + -0.1z = 10.5 + 0.15z + -0.15z Combine like terms: 0.15z + -0.15z = 0.00 0.2 + -0.1z = 10.5 + 0.00 0.2 + -0.1z = 10.5 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.1z = 10.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.1z = 10.5 + -0.2 -0.1z = 10.5 + -0.2 Combine like terms: 10.5 + -0.2 = 10.3 -0.1z = 10.3 Divide each side by '-0.1'. z = -103 Simplifying z = -103
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