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Simplifying (3 + 8i) + -1(5 + -11i) = 0 Remove parenthesis around (3 + 8i) 3 + 8i + -1(5 + -11i) = 0 3 + 8i + (5 * -1 + -11i * -1) = 0 3 + 8i + (-5 + 11i) = 0 Reorder the terms: 3 + -5 + 8i + 11i = 0 Combine like terms: 3 + -5 = -2 -2 + 8i + 11i = 0 Combine like terms: 8i + 11i = 19i -2 + 19i = 0 Solving -2 + 19i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 19i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 19i = 0 + 2 19i = 0 + 2 Combine like terms: 0 + 2 = 2 19i = 2 Divide each side by '19'. i = 0.1052631579 Simplifying i = 0.1052631579
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