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Simplifying (7 + 5i) + (3 + 6i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + (3 + 6i) = 0 Remove parenthesis around (3 + 6i) 7 + 5i + 3 + 6i = 0 Reorder the terms: 7 + 3 + 5i + 6i = 0 Combine like terms: 7 + 3 = 10 10 + 5i + 6i = 0 Combine like terms: 5i + 6i = 11i 10 + 11i = 0 Solving 10 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11i = 0 + -10 11i = 0 + -10 Combine like terms: 0 + -10 = -10 11i = -10 Divide each side by '11'. i = -0.9090909091 Simplifying i = -0.9090909091
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