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Simplifying z + i * z = 6 + -2i Multiply i * z z + iz = 6 + -2i Reorder the terms: iz + z = 6 + -2i Solving iz + z = 6 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. iz + 2i + z = 6 + -2i + 2i Reorder the terms: 2i + iz + z = 6 + -2i + 2i Combine like terms: -2i + 2i = 0 2i + iz + z = 6 + 0 2i + iz + z = 6 Add '-1z' to each side of the equation. 2i + iz + z + -1z = 6 + -1z Combine like terms: z + -1z = 0 2i + iz + 0 = 6 + -1z 2i + iz = 6 + -1z Reorder the terms: -6 + 2i + iz + z = 6 + -1z + -6 + z Reorder the terms: -6 + 2i + iz + z = 6 + -6 + -1z + z Combine like terms: 6 + -6 = 0 -6 + 2i + iz + z = 0 + -1z + z -6 + 2i + iz + z = -1z + z Combine like terms: -1z + z = 0 -6 + 2i + iz + z = 0 The solution to this equation could not be determined.
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