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