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Simplifying (2 + -1i) + (3i + 2) = 0 Remove parenthesis around (2 + -1i) 2 + -1i + (3i + 2) = 0 Reorder the terms: 2 + -1i + (2 + 3i) = 0 Remove parenthesis around (2 + 3i) 2 + -1i + 2 + 3i = 0 Reorder the terms: 2 + 2 + -1i + 3i = 0 Combine like terms: 2 + 2 = 4 4 + -1i + 3i = 0 Combine like terms: -1i + 3i = 2i 4 + 2i = 0 Solving 4 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2i = 0 + -4 2i = 0 + -4 Combine like terms: 0 + -4 = -4 2i = -4 Divide each side by '2'. i = -2 Simplifying i = -2
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