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Simplifying (3 + -2i) + (-5 + 3i) = 0 Remove parenthesis around (3 + -2i) 3 + -2i + (-5 + 3i) = 0 Remove parenthesis around (-5 + 3i) 3 + -2i + -5 + 3i = 0 Reorder the terms: 3 + -5 + -2i + 3i = 0 Combine like terms: 3 + -5 = -2 -2 + -2i + 3i = 0 Combine like terms: -2i + 3i = 1i -2 + 1i = 0 Solving -2 + 1i = 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 + 1i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1i = 0 + 2 1i = 0 + 2 Combine like terms: 0 + 2 = 2 1i = 2 Divide each side by '1'. i = 2 Simplifying i = 2
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