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Simplifying (2i) + -8 + -1(-2 + i) = 0 (2i) + -8 + (-2 * -1 + i * -1) = 0 (2i) + -8 + (2 + -1i) = 0 Reorder the terms: -8 + 2 + (2i) + -1i = 0 Combine like terms: -8 + 2 = -6 -6 + (2i) + -1i = 0 Combine like terms: (2i) + -1i = 1i -6 + 1i = 0 Solving -6 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1i = 0 + 6 1i = 0 + 6 Combine like terms: 0 + 6 = 6 1i = 6 Divide each side by '1'. i = 6 Simplifying i = 6
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