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Simplifying (7 + -2i) + (9i + -5) = 0 Remove parenthesis around (7 + -2i) 7 + -2i + (9i + -5) = 0 Reorder the terms: 7 + -2i + (-5 + 9i) = 0 Remove parenthesis around (-5 + 9i) 7 + -2i + -5 + 9i = 0 Reorder the terms: 7 + -5 + -2i + 9i = 0 Combine like terms: 7 + -5 = 2 2 + -2i + 9i = 0 Combine like terms: -2i + 9i = 7i 2 + 7i = 0 Solving 2 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7i = 0 + -2 7i = 0 + -2 Combine like terms: 0 + -2 = -2 7i = -2 Divide each side by '7'. i = -0.2857142857 Simplifying i = -0.2857142857
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