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Simplifying (4 + -1i) * z + 7i = 0 Reorder the terms for easier multiplication: z(4 + -1i) + 7i = 0 (4 * z + -1i * z) + 7i = 0 Reorder the terms: (-1iz + 4z) + 7i = 0 (-1iz + 4z) + 7i = 0 Reorder the terms: 7i + -1iz + 4z = 0 Solving 7i + -1iz + 4z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4z' to each side of the equation. 7i + -1iz + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 7i + -1iz + 0 = 0 + -4z 7i + -1iz = 0 + -4z Remove the zero: 7i + -1iz = -4z Combine like terms: -4z + 4z = 0 7i + -1iz + 4z = 0 The solution to this equation could not be determined.
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