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