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Simplifying (2i + -6) + (8i + -14) = 90 Reorder the terms: (-6 + 2i) + (8i + -14) = 90 Remove parenthesis around (-6 + 2i) -6 + 2i + (8i + -14) = 90 Reorder the terms: -6 + 2i + (-14 + 8i) = 90 Remove parenthesis around (-14 + 8i) -6 + 2i + -14 + 8i = 90 Reorder the terms: -6 + -14 + 2i + 8i = 90 Combine like terms: -6 + -14 = -20 -20 + 2i + 8i = 90 Combine like terms: 2i + 8i = 10i -20 + 10i = 90 Solving -20 + 10i = 90 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10i = 90 + 20 Combine like terms: -20 + 20 = 0 0 + 10i = 90 + 20 10i = 90 + 20 Combine like terms: 90 + 20 = 110 10i = 110 Divide each side by '10'. i = 11 Simplifying i = 11
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