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Simplifying Iz + -2 + iI = Iz + 3iI Reorder the terms: -2 + iI + zI = Iz + 3iI Reorder the terms: -2 + iI + zI = 3iI + zI Add '-1zI' to each side of the equation. -2 + iI + zI + -1zI = 3iI + zI + -1zI Combine like terms: zI + -1zI = 0 -2 + iI + 0 = 3iI + zI + -1zI -2 + iI = 3iI + zI + -1zI Combine like terms: zI + -1zI = 0 -2 + iI = 3iI + 0 -2 + iI = 3iI Solving -2 + iI = 3iI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3iI' to each side of the equation. -2 + iI + -3iI = 3iI + -3iI Combine like terms: iI + -3iI = -2iI -2 + -2iI = 3iI + -3iI Combine like terms: 3iI + -3iI = 0 -2 + -2iI = 0 Add '2' to each side of the equation. -2 + 2 + -2iI = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2iI = 0 + 2 -2iI = 0 + 2 Combine like terms: 0 + 2 = 2 -2iI = 2 Divide each side by '-2I'. i = -1I-1 Simplifying i = -1I-1
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