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Simplifying (3 + 2i) + (-1 + 3i) = 0 Remove parenthesis around (3 + 2i) 3 + 2i + (-1 + 3i) = 0 Remove parenthesis around (-1 + 3i) 3 + 2i + -1 + 3i = 0 Reorder the terms: 3 + -1 + 2i + 3i = 0 Combine like terms: 3 + -1 = 2 2 + 2i + 3i = 0 Combine like terms: 2i + 3i = 5i 2 + 5i = 0 Solving 2 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5i = 0 + -2 5i = 0 + -2 Combine like terms: 0 + -2 = -2 5i = -2 Divide each side by '5'. i = -0.4 Simplifying i = -0.4
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