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Simplifying -8 + -1(3 + 2i) + -1(9 + -4i) = 0 -8 + (3 * -1 + 2i * -1) + -1(9 + -4i) = 0 -8 + (-3 + -2i) + -1(9 + -4i) = 0 -8 + -3 + -2i + (9 * -1 + -4i * -1) = 0 -8 + -3 + -2i + (-9 + 4i) = 0 Reorder the terms: -8 + -3 + -9 + -2i + 4i = 0 Combine like terms: -8 + -3 = -11 -11 + -9 + -2i + 4i = 0 Combine like terms: -11 + -9 = -20 -20 + -2i + 4i = 0 Combine like terms: -2i + 4i = 2i -20 + 2i = 0 Solving -20 + 2i = 0 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 + 2i = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2i = 0 + 20 2i = 0 + 20 Combine like terms: 0 + 20 = 20 2i = 20 Divide each side by '2'. i = 10 Simplifying i = 10
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