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Simplifying (2 + -3i) * z + 4 = -1i Reorder the terms for easier multiplication: z(2 + -3i) + 4 = -1i (2 * z + -3i * z) + 4 = -1i Reorder the terms: (-3iz + 2z) + 4 = -1i (-3iz + 2z) + 4 = -1i Reorder the terms: 4 + -3iz + 2z = -1i Solving 4 + -3iz + 2z = -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 4 + -3iz + i + 2z = -1i + i Reorder the terms: 4 + i + -3iz + 2z = -1i + i Combine like terms: -1i + i = 0 4 + i + -3iz + 2z = 0 Add '-4' to each side of the equation. 4 + i + -3iz + -4 + 2z = 0 + -4 Reorder the terms: 4 + -4 + i + -3iz + 2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + i + -3iz + 2z = 0 + -4 i + -3iz + 2z = 0 + -4 Combine like terms: 0 + -4 = -4 i + -3iz + 2z = -4 Add '-2z' to each side of the equation. i + -3iz + 2z + -2z = -4 + -2z Combine like terms: 2z + -2z = 0 i + -3iz + 0 = -4 + -2z i + -3iz = -4 + -2z Reorder the terms: 4 + i + -3iz + 2z = -4 + -2z + 4 + 2z Reorder the terms: 4 + i + -3iz + 2z = -4 + 4 + -2z + 2z Combine like terms: -4 + 4 = 0 4 + i + -3iz + 2z = 0 + -2z + 2z 4 + i + -3iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 4 + i + -3iz + 2z = 0 The solution to this equation could not be determined.
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