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Simplifying z + 3i = 2 + -2iz Reorder the terms: 3i + z = 2 + -2iz Solving 3i + z = 2 + -2iz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2iz' to each side of the equation. 3i + 2iz + z = 2 + -2iz + 2iz Combine like terms: -2iz + 2iz = 0 3i + 2iz + z = 2 + 0 3i + 2iz + z = 2 Add '-1z' to each side of the equation. 3i + 2iz + z + -1z = 2 + -1z Combine like terms: z + -1z = 0 3i + 2iz + 0 = 2 + -1z 3i + 2iz = 2 + -1z Reorder the terms: -2 + 3i + 2iz + z = 2 + -1z + -2 + z Reorder the terms: -2 + 3i + 2iz + z = 2 + -2 + -1z + z Combine like terms: 2 + -2 = 0 -2 + 3i + 2iz + z = 0 + -1z + z -2 + 3i + 2iz + z = -1z + z Combine like terms: -1z + z = 0 -2 + 3i + 2iz + z = 0 The solution to this equation could not be determined.
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