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Simplifying (7 + 6i) + (9 + -3i) = 0 Remove parenthesis around (7 + 6i) 7 + 6i + (9 + -3i) = 0 Remove parenthesis around (9 + -3i) 7 + 6i + 9 + -3i = 0 Reorder the terms: 7 + 9 + 6i + -3i = 0 Combine like terms: 7 + 9 = 16 16 + 6i + -3i = 0 Combine like terms: 6i + -3i = 3i 16 + 3i = 0 Solving 16 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3i = 0 + -16 3i = 0 + -16 Combine like terms: 0 + -16 = -16 3i = -16 Divide each side by '3'. i = -5.333333333 Simplifying i = -5.333333333
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