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