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Simplifying (8i + -14) = (2i + -6) Reorder the terms: (-14 + 8i) = (2i + -6) Remove parenthesis around (-14 + 8i) -14 + 8i = (2i + -6) Reorder the terms: -14 + 8i = (-6 + 2i) Remove parenthesis around (-6 + 2i) -14 + 8i = -6 + 2i Solving -14 + 8i = -6 + 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. -14 + 8i + -2i = -6 + 2i + -2i Combine like terms: 8i + -2i = 6i -14 + 6i = -6 + 2i + -2i Combine like terms: 2i + -2i = 0 -14 + 6i = -6 + 0 -14 + 6i = -6 Add '14' to each side of the equation. -14 + 14 + 6i = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 6i = -6 + 14 6i = -6 + 14 Combine like terms: -6 + 14 = 8 6i = 8 Divide each side by '6'. i = 1.333333333 Simplifying i = 1.333333333
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