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Simplifying (-2 + i) * z + 3 = 4 + -2i Reorder the terms for easier multiplication: z(-2 + i) + 3 = 4 + -2i (-2 * z + i * z) + 3 = 4 + -2i Reorder the terms: (iz + -2z) + 3 = 4 + -2i (iz + -2z) + 3 = 4 + -2i Reorder the terms: 3 + iz + -2z = 4 + -2i Solving 3 + iz + -2z = 4 + -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. 3 + iz + 2i + -2z = 4 + -2i + 2i Reorder the terms: 3 + 2i + iz + -2z = 4 + -2i + 2i Combine like terms: -2i + 2i = 0 3 + 2i + iz + -2z = 4 + 0 3 + 2i + iz + -2z = 4 Add '-3' to each side of the equation. 3 + 2i + iz + -3 + -2z = 4 + -3 Reorder the terms: 3 + -3 + 2i + iz + -2z = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 2i + iz + -2z = 4 + -3 2i + iz + -2z = 4 + -3 Combine like terms: 4 + -3 = 1 2i + iz + -2z = 1 Add '2z' to each side of the equation. 2i + iz + -2z + 2z = 1 + 2z Combine like terms: -2z + 2z = 0 2i + iz + 0 = 1 + 2z 2i + iz = 1 + 2z Reorder the terms: -1 + 2i + iz + -2z = 1 + 2z + -1 + -2z Reorder the terms: -1 + 2i + iz + -2z = 1 + -1 + 2z + -2z Combine like terms: 1 + -1 = 0 -1 + 2i + iz + -2z = 0 + 2z + -2z -1 + 2i + iz + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 -1 + 2i + iz + -2z = 0 The solution to this equation could not be determined.
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