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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 = 14 14 + -5i + 9i = 0 Combine like terms: -5i + 9i = 4i 14 + 4i = 0 Solving 14 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4i = 0 + -14 4i = 0 + -14 Combine like terms: 0 + -14 = -14 4i = -14 Divide each side by '4'. i = -3.5 Simplifying i = -3.5
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