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Simplifying Iz + -2z + iz = 0 Reorder the terms: iz + -2z + zI = 0 Solving iz + -2z + zI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2z' to each side of the equation. iz + -2z + 2z + zI = 0 + 2z Combine like terms: -2z + 2z = 0 iz + 0 + zI = 0 + 2z iz + zI = 0 + 2z Remove the zero: iz + zI = 2z Add '-1zI' to each side of the equation. iz + zI + -1zI = 2z + -1zI Combine like terms: zI + -1zI = 0 iz + 0 = 2z + -1zI iz = 2z + -1zI Divide each side by 'z'. i = 2 + -1I Simplifying i = 2 + -1I
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