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Simplifying (18 + -4i) + -1(7 + -11i) = 0 Remove parenthesis around (18 + -4i) 18 + -4i + -1(7 + -11i) = 0 18 + -4i + (7 * -1 + -11i * -1) = 0 18 + -4i + (-7 + 11i) = 0 Reorder the terms: 18 + -7 + -4i + 11i = 0 Combine like terms: 18 + -7 = 11 11 + -4i + 11i = 0 Combine like terms: -4i + 11i = 7i 11 + 7i = 0 Solving 11 + 7i = 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 + 7i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7i = 0 + -11 7i = 0 + -11 Combine like terms: 0 + -11 = -11 7i = -11 Divide each side by '7'. i = -1.571428571 Simplifying i = -1.571428571
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