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Simplifying 3 + 10i = 4i + -8 Reorder the terms: 3 + 10i = -8 + 4i Solving 3 + 10i = -8 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 3 + 10i + -4i = -8 + 4i + -4i Combine like terms: 10i + -4i = 6i 3 + 6i = -8 + 4i + -4i Combine like terms: 4i + -4i = 0 3 + 6i = -8 + 0 3 + 6i = -8 Add '-3' to each side of the equation. 3 + -3 + 6i = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 6i = -8 + -3 6i = -8 + -3 Combine like terms: -8 + -3 = -11 6i = -11 Divide each side by '6'. i = -1.833333333 Simplifying i = -1.833333333
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