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Simplifying z + iz = 1 + 7i Reorder the terms: iz + z = 1 + 7i Solving iz + z = 1 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. iz + -7i + z = 1 + 7i + -7i Reorder the terms: -7i + iz + z = 1 + 7i + -7i Combine like terms: 7i + -7i = 0 -7i + iz + z = 1 + 0 -7i + iz + z = 1 Add '-1z' to each side of the equation. -7i + iz + z + -1z = 1 + -1z Combine like terms: z + -1z = 0 -7i + iz + 0 = 1 + -1z -7i + iz = 1 + -1z Reorder the terms: -1 + -7i + iz + z = 1 + -1z + -1 + z Reorder the terms: -1 + -7i + iz + z = 1 + -1 + -1z + z Combine like terms: 1 + -1 = 0 -1 + -7i + iz + z = 0 + -1z + z -1 + -7i + iz + z = -1z + z Combine like terms: -1z + z = 0 -1 + -7i + iz + z = 0 The solution to this equation could not be determined.
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