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Simplifying (7 + -3i) + -1(4 + -5i) = 0 Remove parenthesis around (7 + -3i) 7 + -3i + -1(4 + -5i) = 0 7 + -3i + (4 * -1 + -5i * -1) = 0 7 + -3i + (-4 + 5i) = 0 Reorder the terms: 7 + -4 + -3i + 5i = 0 Combine like terms: 7 + -4 = 3 3 + -3i + 5i = 0 Combine like terms: -3i + 5i = 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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