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Simplifying -8i + 4i = 12 + -6i Combine like terms: -8i + 4i = -4i -4i = 12 + -6i Solving -4i = 12 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. -4i + 6i = 12 + -6i + 6i Combine like terms: -4i + 6i = 2i 2i = 12 + -6i + 6i Combine like terms: -6i + 6i = 0 2i = 12 + 0 2i = 12 Divide each side by '2'. i = 6 Simplifying i = 6
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