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Simplifying Iz + 3 + -1i = 0 Reorder the terms: 3 + -1i + zI = 0 Solving 3 + -1i + zI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1i + -3 + zI = 0 + -3 Reorder the terms: 3 + -3 + -1i + zI = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i + zI = 0 + -3 -1i + zI = 0 + -3 Combine like terms: 0 + -3 = -3 -1i + zI = -3 Add '-1zI' to each side of the equation. -1i + zI + -1zI = -3 + -1zI Combine like terms: zI + -1zI = 0 -1i + 0 = -3 + -1zI -1i = -3 + -1zI Divide each side by '-1'. i = 3 + zI Simplifying i = 3 + zI
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