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