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Simplifying (34 + 17i) + (-23 + 6i) = 0 Remove parenthesis around (34 + 17i) 34 + 17i + (-23 + 6i) = 0 Remove parenthesis around (-23 + 6i) 34 + 17i + -23 + 6i = 0 Reorder the terms: 34 + -23 + 17i + 6i = 0 Combine like terms: 34 + -23 = 11 11 + 17i + 6i = 0 Combine like terms: 17i + 6i = 23i 11 + 23i = 0 Solving 11 + 23i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 23i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 23i = 0 + -11 23i = 0 + -11 Combine like terms: 0 + -11 = -11 23i = -11 Divide each side by '23'. i = -0.4782608696 Simplifying i = -0.4782608696
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