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Simplifying (5 + 2i) + -1(-6 + -3i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(-6 + -3i) = 0 5 + 2i + (-6 * -1 + -3i * -1) = 0 5 + 2i + (6 + 3i) = 0 Reorder the terms: 5 + 6 + 2i + 3i = 0 Combine like terms: 5 + 6 = 11 11 + 2i + 3i = 0 Combine like terms: 2i + 3i = 5i 11 + 5i = 0 Solving 11 + 5i = 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 + 5i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5i = 0 + -11 5i = 0 + -11 Combine like terms: 0 + -11 = -11 5i = -11 Divide each side by '5'. i = -2.2 Simplifying i = -2.2
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