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Simplifying (8 + -2i) + (2 + -9i) = 0 Remove parenthesis around (8 + -2i) 8 + -2i + (2 + -9i) = 0 Remove parenthesis around (2 + -9i) 8 + -2i + 2 + -9i = 0 Reorder the terms: 8 + 2 + -2i + -9i = 0 Combine like terms: 8 + 2 = 10 10 + -2i + -9i = 0 Combine like terms: -2i + -9i = -11i 10 + -11i = 0 Solving 10 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11i = 0 + -10 -11i = 0 + -10 Combine like terms: 0 + -10 = -10 -11i = -10 Divide each side by '-11'. i = 0.9090909091 Simplifying i = 0.9090909091
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