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Simplifying (14 + 3i) + (7 + 6i) = 0 Remove parenthesis around (14 + 3i) 14 + 3i + (7 + 6i) = 0 Remove parenthesis around (7 + 6i) 14 + 3i + 7 + 6i = 0 Reorder the terms: 14 + 7 + 3i + 6i = 0 Combine like terms: 14 + 7 = 21 21 + 3i + 6i = 0 Combine like terms: 3i + 6i = 9i 21 + 9i = 0 Solving 21 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9i = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 9i = 0 + -21 9i = 0 + -21 Combine like terms: 0 + -21 = -21 9i = -21 Divide each side by '9'. i = -2.333333333 Simplifying i = -2.333333333
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