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Simplifying (4i) + (8i) + -1(2 + -6i) = 0 (4i) + (8i) + (2 * -1 + -6i * -1) = 0 (4i) + (8i) + (-2 + 6i) = 0 Reorder the terms: -2 + (4i) + (8i) + 6i = 0 Combine like terms: (4i) + (8i) = 12i -2 + 12i + 6i = 0 Combine like terms: 12i + 6i = 18i -2 + 18i = 0 Solving -2 + 18i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 18i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 18i = 0 + 2 18i = 0 + 2 Combine like terms: 0 + 2 = 2 18i = 2 Divide each side by '18'. i = 0.1111111111 Simplifying i = 0.1111111111
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