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Simplifying z2 + 8i = 0 Reorder the terms: 8i + z2 = 0 Solving 8i + z2 = 0 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 = 0 + -1z2 Combine like terms: z2 + -1z2 = 0 8i + 0 = 0 + -1z2 8i = 0 + -1z2 Remove the zero: 8i = -1z2 Divide each side by '8'. i = -0.125z2 Simplifying i = -0.125z2
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