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Simplifying (9 + 2i) + (1 + 3i) = 0 Remove parenthesis around (9 + 2i) 9 + 2i + (1 + 3i) = 0 Remove parenthesis around (1 + 3i) 9 + 2i + 1 + 3i = 0 Reorder the terms: 9 + 1 + 2i + 3i = 0 Combine like terms: 9 + 1 = 10 10 + 2i + 3i = 0 Combine like terms: 2i + 3i = 5i 10 + 5i = 0 Solving 10 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5i = 0 + -10 5i = 0 + -10 Combine like terms: 0 + -10 = -10 5i = -10 Divide each side by '5'. i = -2 Simplifying i = -2
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