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