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Simplifying z = 0.47 + 0.23(z + -1) Reorder the terms: z = 0.47 + 0.23(-1 + z) z = 0.47 + (-1 * 0.23 + z * 0.23) z = 0.47 + (-0.23 + 0.23z) Combine like terms: 0.47 + -0.23 = 0.24 z = 0.24 + 0.23z Solving z = 0.24 + 0.23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.23z' to each side of the equation. z + -0.23z = 0.24 + 0.23z + -0.23z Combine like terms: z + -0.23z = 0.77z 0.77z = 0.24 + 0.23z + -0.23z Combine like terms: 0.23z + -0.23z = 0.00 0.77z = 0.24 + 0.00 0.77z = 0.24 Divide each side by '0.77'. z = 0.3116883117 Simplifying z = 0.3116883117
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