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Simplifying (3 + -1i) + (5 + -2i) = 0 Remove parenthesis around (3 + -1i) 3 + -1i + (5 + -2i) = 0 Remove parenthesis around (5 + -2i) 3 + -1i + 5 + -2i = 0 Reorder the terms: 3 + 5 + -1i + -2i = 0 Combine like terms: 3 + 5 = 8 8 + -1i + -2i = 0 Combine like terms: -1i + -2i = -3i 8 + -3i = 0 Solving 8 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3i = 0 + -8 -3i = 0 + -8 Combine like terms: 0 + -8 = -8 -3i = -8 Divide each side by '-3'. i = 2.666666667 Simplifying i = 2.666666667
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