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Simplifying (17 + -11i) + -1(1 + -2i) = 0 Remove parenthesis around (17 + -11i) 17 + -11i + -1(1 + -2i) = 0 17 + -11i + (1 * -1 + -2i * -1) = 0 17 + -11i + (-1 + 2i) = 0 Reorder the terms: 17 + -1 + -11i + 2i = 0 Combine like terms: 17 + -1 = 16 16 + -11i + 2i = 0 Combine like terms: -11i + 2i = -9i 16 + -9i = 0 Solving 16 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -9i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9i = 0 + -16 -9i = 0 + -16 Combine like terms: 0 + -16 = -16 -9i = -16 Divide each side by '-9'. i = 1.777777778 Simplifying i = 1.777777778
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