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Simplifying (9 + 9i) + -1(4 + -18i) = 0 Remove parenthesis around (9 + 9i) 9 + 9i + -1(4 + -18i) = 0 9 + 9i + (4 * -1 + -18i * -1) = 0 9 + 9i + (-4 + 18i) = 0 Reorder the terms: 9 + -4 + 9i + 18i = 0 Combine like terms: 9 + -4 = 5 5 + 9i + 18i = 0 Combine like terms: 9i + 18i = 27i 5 + 27i = 0 Solving 5 + 27i = 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 + 27i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 27i = 0 + -5 27i = 0 + -5 Combine like terms: 0 + -5 = -5 27i = -5 Divide each side by '27'. i = -0.1851851852 Simplifying i = -0.1851851852
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