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Simplifying (5 + 7i) + (4 + 6i) = 0 Remove parenthesis around (5 + 7i) 5 + 7i + (4 + 6i) = 0 Remove parenthesis around (4 + 6i) 5 + 7i + 4 + 6i = 0 Reorder the terms: 5 + 4 + 7i + 6i = 0 Combine like terms: 5 + 4 = 9 9 + 7i + 6i = 0 Combine like terms: 7i + 6i = 13i 9 + 13i = 0 Solving 9 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13i = 0 + -9 13i = 0 + -9 Combine like terms: 0 + -9 = -9 13i = -9 Divide each side by '13'. i = -0.6923076923 Simplifying i = -0.6923076923
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