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Simplifying (7 + 5i) + (-2 + 11i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + (-2 + 11i) = 0 Remove parenthesis around (-2 + 11i) 7 + 5i + -2 + 11i = 0 Reorder the terms: 7 + -2 + 5i + 11i = 0 Combine like terms: 7 + -2 = 5 5 + 5i + 11i = 0 Combine like terms: 5i + 11i = 16i 5 + 16i = 0 Solving 5 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 16i = 0 + -5 16i = 0 + -5 Combine like terms: 0 + -5 = -5 16i = -5 Divide each side by '16'. i = -0.3125 Simplifying i = -0.3125
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