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Simplifying (1 + i) + (2 + -3i) = 0 Remove parenthesis around (1 + i) 1 + i + (2 + -3i) = 0 Remove parenthesis around (2 + -3i) 1 + i + 2 + -3i = 0 Reorder the terms: 1 + 2 + i + -3i = 0 Combine like terms: 1 + 2 = 3 3 + i + -3i = 0 Combine like terms: i + -3i = -2i 3 + -2i = 0 Solving 3 + -2i = 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 + -2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2i = 0 + -3 -2i = 0 + -3 Combine like terms: 0 + -3 = -3 -2i = -3 Divide each side by '-2'. i = 1.5 Simplifying i = 1.5
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