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Simplifying (9 + 6i) + (4 + 9i) = 0 Remove parenthesis around (9 + 6i) 9 + 6i + (4 + 9i) = 0 Remove parenthesis around (4 + 9i) 9 + 6i + 4 + 9i = 0 Reorder the terms: 9 + 4 + 6i + 9i = 0 Combine like terms: 9 + 4 = 13 13 + 6i + 9i = 0 Combine like terms: 6i + 9i = 15i 13 + 15i = 0 Solving 13 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 15i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 15i = 0 + -13 15i = 0 + -13 Combine like terms: 0 + -13 = -13 15i = -13 Divide each side by '15'. i = -0.8666666667 Simplifying i = -0.8666666667
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