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Simplifying (5 + -11i) + -1(-7 + 5i) = 0 Remove parenthesis around (5 + -11i) 5 + -11i + -1(-7 + 5i) = 0 5 + -11i + (-7 * -1 + 5i * -1) = 0 5 + -11i + (7 + -5i) = 0 Reorder the terms: 5 + 7 + -11i + -5i = 0 Combine like terms: 5 + 7 = 12 12 + -11i + -5i = 0 Combine like terms: -11i + -5i = -16i 12 + -16i = 0 Solving 12 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -16i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -16i = 0 + -12 -16i = 0 + -12 Combine like terms: 0 + -12 = -12 -16i = -12 Divide each side by '-16'. i = 0.75 Simplifying i = 0.75
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