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Simplifying (-4 + 9i) + (5 + -6i) = 0 Remove parenthesis around (-4 + 9i) -4 + 9i + (5 + -6i) = 0 Remove parenthesis around (5 + -6i) -4 + 9i + 5 + -6i = 0 Reorder the terms: -4 + 5 + 9i + -6i = 0 Combine like terms: -4 + 5 = 1 1 + 9i + -6i = 0 Combine like terms: 9i + -6i = 3i 1 + 3i = 0 Solving 1 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3i = 0 + -1 3i = 0 + -1 Combine like terms: 0 + -1 = -1 3i = -1 Divide each side by '3'. i = -0.3333333333 Simplifying i = -0.3333333333
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