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Simplifying 0.125 = z + 0.625 Reorder the terms: 0.125 = 0.625 + z Solving 0.125 = 0.625 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 0.125 + -1z = 0.625 + z + -1z Combine like terms: z + -1z = 0 0.125 + -1z = 0.625 + 0 0.125 + -1z = 0.625 Add '-0.125' to each side of the equation. 0.125 + -0.125 + -1z = 0.625 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -1z = 0.625 + -0.125 -1z = 0.625 + -0.125 Combine like terms: 0.625 + -0.125 = 0.5 -1z = 0.5 Divide each side by '-1'. z = -0.5 Simplifying z = -0.5
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