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Simplifying (4 + 9i) + (5 + -8i) = 0 Remove parenthesis around (4 + 9i) 4 + 9i + (5 + -8i) = 0 Remove parenthesis around (5 + -8i) 4 + 9i + 5 + -8i = 0 Reorder the terms: 4 + 5 + 9i + -8i = 0 Combine like terms: 4 + 5 = 9 9 + 9i + -8i = 0 Combine like terms: 9i + -8i = 1i 9 + 1i = 0 Solving 9 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1i = 0 + -9 1i = 0 + -9 Combine like terms: 0 + -9 = -9 1i = -9 Divide each side by '1'. i = -9 Simplifying i = -9
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