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Simplifying 2 + -1(10 + 3i) + (5 + -8i) = 0 2 + (10 * -1 + 3i * -1) + (5 + -8i) = 0 2 + (-10 + -3i) + (5 + -8i) = 0 Remove parenthesis around (5 + -8i) 2 + -10 + -3i + 5 + -8i = 0 Reorder the terms: 2 + -10 + 5 + -3i + -8i = 0 Combine like terms: 2 + -10 = -8 -8 + 5 + -3i + -8i = 0 Combine like terms: -8 + 5 = -3 -3 + -3i + -8i = 0 Combine like terms: -3i + -8i = -11i -3 + -11i = 0 Solving -3 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -11i = 0 + 3 -11i = 0 + 3 Combine like terms: 0 + 3 = 3 -11i = 3 Divide each side by '-11'. i = -0.2727272727 Simplifying i = -0.2727272727
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