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Simplifying (3 + 11i) + (10 + 9i) = 0 Remove parenthesis around (3 + 11i) 3 + 11i + (10 + 9i) = 0 Remove parenthesis around (10 + 9i) 3 + 11i + 10 + 9i = 0 Reorder the terms: 3 + 10 + 11i + 9i = 0 Combine like terms: 3 + 10 = 13 13 + 11i + 9i = 0 Combine like terms: 11i + 9i = 20i 13 + 20i = 0 Solving 13 + 20i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 20i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 20i = 0 + -13 20i = 0 + -13 Combine like terms: 0 + -13 = -13 20i = -13 Divide each side by '20'. i = -0.65 Simplifying i = -0.65
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