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