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