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