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Simplifying (6i) + -1(8 + 3i) = 0 (6i) + (8 * -1 + 3i * -1) = 0 (6i) + (-8 + -3i) = 0 Reorder the terms: -8 + (6i) + -3i = 0 Combine like terms: (6i) + -3i = 3i -8 + 3i = 0 Solving -8 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3i = 0 + 8 3i = 0 + 8 Combine like terms: 0 + 8 = 8 3i = 8 Divide each side by '3'. i = 2.666666667 Simplifying i = 2.666666667
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