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Simplifying (-8 + 4i) + -1(2 + -2i) = 0 Remove parenthesis around (-8 + 4i) -8 + 4i + -1(2 + -2i) = 0 -8 + 4i + (2 * -1 + -2i * -1) = 0 -8 + 4i + (-2 + 2i) = 0 Reorder the terms: -8 + -2 + 4i + 2i = 0 Combine like terms: -8 + -2 = -10 -10 + 4i + 2i = 0 Combine like terms: 4i + 2i = 6i -10 + 6i = 0 Solving -10 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6i = 0 + 10 6i = 0 + 10 Combine like terms: 0 + 10 = 10 6i = 10 Divide each side by '6'. i = 1.666666667 Simplifying i = 1.666666667
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