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Simplifying 4i + 2 + 8i = 0 Reorder the terms: 2 + 4i + 8i = 0 Combine like terms: 4i + 8i = 12i 2 + 12i = 0 Solving 2 + 12i = 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 + 12i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12i = 0 + -2 12i = 0 + -2 Combine like terms: 0 + -2 = -2 12i = -2 Divide each side by '12'. i = -0.1666666667 Simplifying i = -0.1666666667
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