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Simplifying (12 + 6i) + (14 + 3i) = 0 Remove parenthesis around (12 + 6i) 12 + 6i + (14 + 3i) = 0 Remove parenthesis around (14 + 3i) 12 + 6i + 14 + 3i = 0 Reorder the terms: 12 + 14 + 6i + 3i = 0 Combine like terms: 12 + 14 = 26 26 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i 26 + 9i = 0 Solving 26 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9i = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 9i = 0 + -26 9i = 0 + -26 Combine like terms: 0 + -26 = -26 9i = -26 Divide each side by '9'. i = -2.888888889 Simplifying i = -2.888888889
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