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Simplifying (3i) + -1(2 + 6i) = 0 (3i) + (2 * -1 + 6i * -1) = 0 (3i) + (-2 + -6i) = 0 Reorder the terms: -2 + (3i) + -6i = 0 Combine like terms: (3i) + -6i = -3i -2 + -3i = 0 Solving -2 + -3i = 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 + -3i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = 0 + 2 -3i = 0 + 2 Combine like terms: 0 + 2 = 2 -3i = 2 Divide each side by '-3'. i = -0.6666666667 Simplifying i = -0.6666666667
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