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Simplifying (1 + 8i) + 4 + (i) = 0 Remove parenthesis around (1 + 8i) 1 + 8i + 4 + (i) = 0 1 + 8i + 4 + i = 0 Reorder the terms: 1 + 4 + 8i + i = 0 Combine like terms: 1 + 4 = 5 5 + 8i + i = 0 Combine like terms: 8i + i = 9i 5 + 9i = 0 Solving 5 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9i = 0 + -5 9i = 0 + -5 Combine like terms: 0 + -5 = -5 9i = -5 Divide each side by '9'. i = -0.5555555556 Simplifying i = -0.5555555556
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