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Simplifying z + 3i = 1 Reorder the terms: 3i + z = 1 Solving 3i + z = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. 3i + z + -1z = 1 + -1z Combine like terms: z + -1z = 0 3i + 0 = 1 + -1z 3i = 1 + -1z Divide each side by '3'. i = 0.3333333333 + -0.3333333333z Simplifying i = 0.3333333333 + -0.3333333333z
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