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Simplifying (3 + -3i) + (7 + 6i) = 0 Remove parenthesis around (3 + -3i) 3 + -3i + (7 + 6i) = 0 Remove parenthesis around (7 + 6i) 3 + -3i + 7 + 6i = 0 Reorder the terms: 3 + 7 + -3i + 6i = 0 Combine like terms: 3 + 7 = 10 10 + -3i + 6i = 0 Combine like terms: -3i + 6i = 3i 10 + 3i = 0 Solving 10 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3i = 0 + -10 3i = 0 + -10 Combine like terms: 0 + -10 = -10 3i = -10 Divide each side by '3'. i = -3.333333333 Simplifying i = -3.333333333
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