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Simplifying (3 + -3i) + (5 + 6i) = 0 Remove parenthesis around (3 + -3i) 3 + -3i + (5 + 6i) = 0 Remove parenthesis around (5 + 6i) 3 + -3i + 5 + 6i = 0 Reorder the terms: 3 + 5 + -3i + 6i = 0 Combine like terms: 3 + 5 = 8 8 + -3i + 6i = 0 Combine like terms: -3i + 6i = 3i 8 + 3i = 0 Solving 8 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3i = 0 + -8 3i = 0 + -8 Combine like terms: 0 + -8 = -8 3i = -8 Divide each side by '3'. i = -2.666666667 Simplifying i = -2.666666667
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