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Simplifying (5 + 7i) + (8 + 2) = 0 Remove parenthesis around (5 + 7i) 5 + 7i + (8 + 2) = 0 Combine like terms: 8 + 2 = 10 5 + 7i + (10) = 0 5 + 7i + 10 = 0 Reorder the terms: 5 + 10 + 7i = 0 Combine like terms: 5 + 10 = 15 15 + 7i = 0 Solving 15 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7i = 0 + -15 7i = 0 + -15 Combine like terms: 0 + -15 = -15 7i = -15 Divide each side by '7'. i = -2.142857143 Simplifying i = -2.142857143
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