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Simplifying (9 + 5i) + (11 + 2i) = 0 Remove parenthesis around (9 + 5i) 9 + 5i + (11 + 2i) = 0 Remove parenthesis around (11 + 2i) 9 + 5i + 11 + 2i = 0 Reorder the terms: 9 + 11 + 5i + 2i = 0 Combine like terms: 9 + 11 = 20 20 + 5i + 2i = 0 Combine like terms: 5i + 2i = 7i 20 + 7i = 0 Solving 20 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7i = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7i = 0 + -20 7i = 0 + -20 Combine like terms: 0 + -20 = -20 7i = -20 Divide each side by '7'. i = -2.857142857 Simplifying i = -2.857142857
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