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Simplifying 3(2i + -6) = 14 + -2i Reorder the terms: 3(-6 + 2i) = 14 + -2i (-6 * 3 + 2i * 3) = 14 + -2i (-18 + 6i) = 14 + -2i Solving -18 + 6i = 14 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. -18 + 6i + 2i = 14 + -2i + 2i Combine like terms: 6i + 2i = 8i -18 + 8i = 14 + -2i + 2i Combine like terms: -2i + 2i = 0 -18 + 8i = 14 + 0 -18 + 8i = 14 Add '18' to each side of the equation. -18 + 18 + 8i = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 8i = 14 + 18 8i = 14 + 18 Combine like terms: 14 + 18 = 32 8i = 32 Divide each side by '8'. i = 4 Simplifying i = 4
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