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Simplifying z4 + -1z3 + -1iz + 1 = 0 Reorder the terms: 1 + -1iz + -1z3 + z4 = 0 Solving 1 + -1iz + -1z3 + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1iz + -1z3 + -1 + z4 = 0 + -1 Reorder the terms: 1 + -1 + -1iz + -1z3 + z4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1iz + -1z3 + z4 = 0 + -1 -1iz + -1z3 + z4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1iz + -1z3 + z4 = -1 Add 'z3' to each side of the equation. -1iz + -1z3 + z3 + z4 = -1 + z3 Combine like terms: -1z3 + z3 = 0 -1iz + 0 + z4 = -1 + z3 -1iz + z4 = -1 + z3 Add '-1z4' to each side of the equation. -1iz + z4 + -1z4 = -1 + z3 + -1z4 Combine like terms: z4 + -1z4 = 0 -1iz + 0 = -1 + z3 + -1z4 -1iz = -1 + z3 + -1z4 Divide each side by '-1z'. i = z-1 + -1z2 + z3 Simplifying i = z-1 + -1z2 + z3
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