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