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Simplifying Z3 + 1 + -1I = 0 Reorder the terms: 1 + -1I + Z3 = 0 Solving 1 + -1I + Z3 = 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 + -1I + -1 + Z3 = 0 + -1 Reorder the terms: 1 + -1 + -1I + Z3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1I + Z3 = 0 + -1 -1I + Z3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1I + Z3 = -1 Add '-1Z3' to each side of the equation. -1I + Z3 + -1Z3 = -1 + -1Z3 Combine like terms: Z3 + -1Z3 = 0 -1I + 0 = -1 + -1Z3 -1I = -1 + -1Z3 Divide each side by '-1'. I = 1 + Z3 Simplifying I = 1 + Z3
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