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Simplifying (2 + -6i) + (9 + 2i) + -2i = 0 Remove parenthesis around (2 + -6i) 2 + -6i + (9 + 2i) + -2i = 0 Remove parenthesis around (9 + 2i) 2 + -6i + 9 + 2i + -2i = 0 Reorder the terms: 2 + 9 + -6i + 2i + -2i = 0 Combine like terms: 2 + 9 = 11 11 + -6i + 2i + -2i = 0 Combine like terms: -6i + 2i = -4i 11 + -4i + -2i = 0 Combine like terms: -4i + -2i = -6i 11 + -6i = 0 Solving 11 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6i = 0 + -11 -6i = 0 + -11 Combine like terms: 0 + -11 = -11 -6i = -11 Divide each side by '-6'. i = 1.833333333 Simplifying i = 1.833333333
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