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Simplifying (1 + -1i) + (3i + -2) = 0 Remove parenthesis around (1 + -1i) 1 + -1i + (3i + -2) = 0 Reorder the terms: 1 + -1i + (-2 + 3i) = 0 Remove parenthesis around (-2 + 3i) 1 + -1i + -2 + 3i = 0 Reorder the terms: 1 + -2 + -1i + 3i = 0 Combine like terms: 1 + -2 = -1 -1 + -1i + 3i = 0 Combine like terms: -1i + 3i = 2i -1 + 2i = 0 Solving -1 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2i = 0 + 1 2i = 0 + 1 Combine like terms: 0 + 1 = 1 2i = 1 Divide each side by '2'. i = 0.5 Simplifying i = 0.5
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