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Simplifying (-1 + 6i) + (-4 + 2i) = 0 Remove parenthesis around (-1 + 6i) -1 + 6i + (-4 + 2i) = 0 Remove parenthesis around (-4 + 2i) -1 + 6i + -4 + 2i = 0 Reorder the terms: -1 + -4 + 6i + 2i = 0 Combine like terms: -1 + -4 = -5 -5 + 6i + 2i = 0 Combine like terms: 6i + 2i = 8i -5 + 8i = 0 Solving -5 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8i = 0 + 5 8i = 0 + 5 Combine like terms: 0 + 5 = 5 8i = 5 Divide each side by '8'. i = 0.625 Simplifying i = 0.625
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