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Simplifying 8i + -14 + 2i + -6 = 90 Reorder the terms: -14 + -6 + 8i + 2i = 90 Combine like terms: -14 + -6 = -20 -20 + 8i + 2i = 90 Combine like terms: 8i + 2i = 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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