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Simplifying (-1 + -3i) + 2(4 + 6i) = 0 Remove parenthesis around (-1 + -3i) -1 + -3i + 2(4 + 6i) = 0 -1 + -3i + (4 * 2 + 6i * 2) = 0 -1 + -3i + (8 + 12i) = 0 Reorder the terms: -1 + 8 + -3i + 12i = 0 Combine like terms: -1 + 8 = 7 7 + -3i + 12i = 0 Combine like terms: -3i + 12i = 9i 7 + 9i = 0 Solving 7 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9i = 0 + -7 9i = 0 + -7 Combine like terms: 0 + -7 = -7 9i = -7 Divide each side by '9'. i = -0.7777777778 Simplifying i = -0.7777777778
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