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Simplifying 3(-1 + -8i) + 2(4 + 3i) = 0 (-1 * 3 + -8i * 3) + 2(4 + 3i) = 0 (-3 + -24i) + 2(4 + 3i) = 0 -3 + -24i + (4 * 2 + 3i * 2) = 0 -3 + -24i + (8 + 6i) = 0 Reorder the terms: -3 + 8 + -24i + 6i = 0 Combine like terms: -3 + 8 = 5 5 + -24i + 6i = 0 Combine like terms: -24i + 6i = -18i 5 + -18i = 0 Solving 5 + -18i = 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 + -18i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18i = 0 + -5 -18i = 0 + -5 Combine like terms: 0 + -5 = -5 -18i = -5 Divide each side by '-18'. i = 0.2777777778 Simplifying i = 0.2777777778
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