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Simplifying 2i + -6 = 8i + -14 Reorder the terms: -6 + 2i = 8i + -14 Reorder the terms: -6 + 2i = -14 + 8i Solving -6 + 2i = -14 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. -6 + 2i + -8i = -14 + 8i + -8i Combine like terms: 2i + -8i = -6i -6 + -6i = -14 + 8i + -8i Combine like terms: 8i + -8i = 0 -6 + -6i = -14 + 0 -6 + -6i = -14 Add '6' to each side of the equation. -6 + 6 + -6i = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -6i = -14 + 6 -6i = -14 + 6 Combine like terms: -14 + 6 = -8 -6i = -8 Divide each side by '-6'. i = 1.333333333 Simplifying i = 1.333333333
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