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Simplifying (8 + 9i) + (4 + 8i) = 0 Remove parenthesis around (8 + 9i) 8 + 9i + (4 + 8i) = 0 Remove parenthesis around (4 + 8i) 8 + 9i + 4 + 8i = 0 Reorder the terms: 8 + 4 + 9i + 8i = 0 Combine like terms: 8 + 4 = 12 12 + 9i + 8i = 0 Combine like terms: 9i + 8i = 17i 12 + 17i = 0 Solving 12 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 17i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 17i = 0 + -12 17i = 0 + -12 Combine like terms: 0 + -12 = -12 17i = -12 Divide each side by '17'. i = -0.7058823529 Simplifying i = -0.7058823529
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