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Simplifying (5 + 7i) + (-2 + 6i) = 0 Remove parenthesis around (5 + 7i) 5 + 7i + (-2 + 6i) = 0 Remove parenthesis around (-2 + 6i) 5 + 7i + -2 + 6i = 0 Reorder the terms: 5 + -2 + 7i + 6i = 0 Combine like terms: 5 + -2 = 3 3 + 7i + 6i = 0 Combine like terms: 7i + 6i = 13i 3 + 13i = 0 Solving 3 + 13i = 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 + 13i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13i = 0 + -3 13i = 0 + -3 Combine like terms: 0 + -3 = -3 13i = -3 Divide each side by '13'. i = -0.2307692308 Simplifying i = -0.2307692308
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