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Simplifying 0 = (5 + 2i) + -1(-6 + -3i) Remove parenthesis around (5 + 2i) 0 = 5 + 2i + -1(-6 + -3i) 0 = 5 + 2i + (-6 * -1 + -3i * -1) 0 = 5 + 2i + (6 + 3i) Reorder the terms: 0 = 5 + 6 + 2i + 3i Combine like terms: 5 + 6 = 11 0 = 11 + 2i + 3i Combine like terms: 2i + 3i = 5i 0 = 11 + 5i Solving 0 = 11 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 0 + -5i = 11 + 5i + -5i Remove the zero: -5i = 11 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i = 11 + 0 -5i = 11 Divide each side by '-5'. i = -2.2 Simplifying i = -2.2
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