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Simplifying (7i) + (2i) + (-5 + 7i) = 0 Remove parenthesis around (-5 + 7i) (7i) + (2i) + -5 + 7i = 0 Reorder the terms: -5 + (7i) + (2i) + 7i = 0 Combine like terms: (7i) + (2i) = 9i -5 + 9i + 7i = 0 Combine like terms: 9i + 7i = 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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