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Simplifying (i + -3) * 2 = 8 + -6i Reorder the terms: (-3 + i) * 2 = 8 + -6i Reorder the terms for easier multiplication: 2(-3 + i) = 8 + -6i (-3 * 2 + i * 2) = 8 + -6i (-6 + 2i) = 8 + -6i Solving -6 + 2i = 8 + -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. -6 + 2i + 6i = 8 + -6i + 6i Combine like terms: 2i + 6i = 8i -6 + 8i = 8 + -6i + 6i Combine like terms: -6i + 6i = 0 -6 + 8i = 8 + 0 -6 + 8i = 8 Add '6' to each side of the equation. -6 + 6 + 8i = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 8i = 8 + 6 8i = 8 + 6 Combine like terms: 8 + 6 = 14 8i = 14 Divide each side by '8'. i = 1.75 Simplifying i = 1.75
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