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Simplifying z6 + iz3 + 2 = 0 Reorder the terms: 2 + iz3 + z6 = 0 Solving 2 + iz3 + z6 = 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 + iz3 + -2 + z6 = 0 + -2 Reorder the terms: 2 + -2 + iz3 + z6 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + iz3 + z6 = 0 + -2 iz3 + z6 = 0 + -2 Combine like terms: 0 + -2 = -2 iz3 + z6 = -2 Add '-1z6' to each side of the equation. iz3 + z6 + -1z6 = -2 + -1z6 Combine like terms: z6 + -1z6 = 0 iz3 + 0 = -2 + -1z6 iz3 = -2 + -1z6 Divide each side by 'z3'. i = -2z-3 + -1z3 Simplifying i = -2z-3 + -1z3
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