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Simplifying 0.05z + 1 = 0.1z + -0.5 Reorder the terms: 1 + 0.05z = 0.1z + -0.5 Reorder the terms: 1 + 0.05z = -0.5 + 0.1z Solving 1 + 0.05z = -0.5 + 0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.1z' to each side of the equation. 1 + 0.05z + -0.1z = -0.5 + 0.1z + -0.1z Combine like terms: 0.05z + -0.1z = -0.05z 1 + -0.05z = -0.5 + 0.1z + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 1 + -0.05z = -0.5 + 0.0 1 + -0.05z = -0.5 Add '-1' to each side of the equation. 1 + -1 + -0.05z = -0.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.05z = -0.5 + -1 -0.05z = -0.5 + -1 Combine like terms: -0.5 + -1 = -1.5 -0.05z = -1.5 Divide each side by '-0.05'. z = 30 Simplifying z = 30
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