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Simplifying (8 + -5i) + -1(-3 + -7i) = 0 Remove parenthesis around (8 + -5i) 8 + -5i + -1(-3 + -7i) = 0 8 + -5i + (-3 * -1 + -7i * -1) = 0 8 + -5i + (3 + 7i) = 0 Reorder the terms: 8 + 3 + -5i + 7i = 0 Combine like terms: 8 + 3 = 11 11 + -5i + 7i = 0 Combine like terms: -5i + 7i = 2i 11 + 2i = 0 Solving 11 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2i = 0 + -11 2i = 0 + -11 Combine like terms: 0 + -11 = -11 2i = -11 Divide each side by '2'. i = -5.5 Simplifying i = -5.5
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