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Simplifying (2 + -1i) + -1(5 + -9i) = 0 Remove parenthesis around (2 + -1i) 2 + -1i + -1(5 + -9i) = 0 2 + -1i + (5 * -1 + -9i * -1) = 0 2 + -1i + (-5 + 9i) = 0 Reorder the terms: 2 + -5 + -1i + 9i = 0 Combine like terms: 2 + -5 = -3 -3 + -1i + 9i = 0 Combine like terms: -1i + 9i = 8i -3 + 8i = 0 Solving -3 + 8i = 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 + 8i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8i = 0 + 3 8i = 0 + 3 Combine like terms: 0 + 3 = 3 8i = 3 Divide each side by '8'. i = 0.375 Simplifying i = 0.375
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