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Simplifying z = 0.125z + 49 Reorder the terms: z = 49 + 0.125z Solving z = 49 + 0.125z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.125z' to each side of the equation. z + -0.125z = 49 + 0.125z + -0.125z Combine like terms: z + -0.125z = 0.875z 0.875z = 49 + 0.125z + -0.125z Combine like terms: 0.125z + -0.125z = 0.000 0.875z = 49 + 0.000 0.875z = 49 Divide each side by '0.875'. z = 56 Simplifying z = 56
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