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Simplifying (-2 + 3i) + (5 + 6i) = 0 Remove parenthesis around (-2 + 3i) -2 + 3i + (5 + 6i) = 0 Remove parenthesis around (5 + 6i) -2 + 3i + 5 + 6i = 0 Reorder the terms: -2 + 5 + 3i + 6i = 0 Combine like terms: -2 + 5 = 3 3 + 3i + 6i = 0 Combine like terms: 3i + 6i = 9i 3 + 9i = 0 Solving 3 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9i = 0 + -3 9i = 0 + -3 Combine like terms: 0 + -3 = -3 9i = -3 Divide each side by '9'. i = -0.3333333333 Simplifying i = -0.3333333333
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