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