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Simplifying (-3 + 5i) + (7 + -2i) = 0 Remove parenthesis around (-3 + 5i) -3 + 5i + (7 + -2i) = 0 Remove parenthesis around (7 + -2i) -3 + 5i + 7 + -2i = 0 Reorder the terms: -3 + 7 + 5i + -2i = 0 Combine like terms: -3 + 7 = 4 4 + 5i + -2i = 0 Combine like terms: 5i + -2i = 3i 4 + 3i = 0 Solving 4 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3i = 0 + -4 3i = 0 + -4 Combine like terms: 0 + -4 = -4 3i = -4 Divide each side by '3'. i = -1.333333333 Simplifying i = -1.333333333
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