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Simplifying z2 + 8i = 2z + 1 Reorder the terms: 8i + z2 = 2z + 1 Reorder the terms: 8i + z2 = 1 + 2z Solving 8i + z2 = 1 + 2z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. 8i + z2 + -1z2 = 1 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 8i + 0 = 1 + 2z + -1z2 8i = 1 + 2z + -1z2 Divide each side by '8'. i = 0.125 + 0.25z + -0.125z2 Simplifying i = 0.125 + 0.25z + -0.125z2
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