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Simplifying (9 + 5i) + (-5 + 9i) = 0 Remove parenthesis around (9 + 5i) 9 + 5i + (-5 + 9i) = 0 Remove parenthesis around (-5 + 9i) 9 + 5i + -5 + 9i = 0 Reorder the terms: 9 + -5 + 5i + 9i = 0 Combine like terms: 9 + -5 = 4 4 + 5i + 9i = 0 Combine like terms: 5i + 9i = 14i 4 + 14i = 0 Solving 4 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14i = 0 + -4 14i = 0 + -4 Combine like terms: 0 + -4 = -4 14i = -4 Divide each side by '14'. i = -0.2857142857 Simplifying i = -0.2857142857
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