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Simplifying (9 + 3i) + -1(-2 + -7i) = 0 Remove parenthesis around (9 + 3i) 9 + 3i + -1(-2 + -7i) = 0 9 + 3i + (-2 * -1 + -7i * -1) = 0 9 + 3i + (2 + 7i) = 0 Reorder the terms: 9 + 2 + 3i + 7i = 0 Combine like terms: 9 + 2 = 11 11 + 3i + 7i = 0 Combine like terms: 3i + 7i = 10i 11 + 10i = 0 Solving 11 + 10i = 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 + 10i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10i = 0 + -11 10i = 0 + -11 Combine like terms: 0 + -11 = -11 10i = -11 Divide each side by '10'. i = -1.1 Simplifying i = -1.1
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