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Simplifying (-1 + 5i) + (-2 + -3i) = 0 Remove parenthesis around (-1 + 5i) -1 + 5i + (-2 + -3i) = 0 Remove parenthesis around (-2 + -3i) -1 + 5i + -2 + -3i = 0 Reorder the terms: -1 + -2 + 5i + -3i = 0 Combine like terms: -1 + -2 = -3 -3 + 5i + -3i = 0 Combine like terms: 5i + -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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