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Simplifying (-1 + 8i) + -1(3 + -2i) = 0 Remove parenthesis around (-1 + 8i) -1 + 8i + -1(3 + -2i) = 0 -1 + 8i + (3 * -1 + -2i * -1) = 0 -1 + 8i + (-3 + 2i) = 0 Reorder the terms: -1 + -3 + 8i + 2i = 0 Combine like terms: -1 + -3 = -4 -4 + 8i + 2i = 0 Combine like terms: 8i + 2i = 10i -4 + 10i = 0 Solving -4 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10i = 0 + 4 10i = 0 + 4 Combine like terms: 0 + 4 = 4 10i = 4 Divide each side by '10'. i = 0.4 Simplifying i = 0.4
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