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Simplifying (-2 + 5i) + -1(6 + -8i) = 0 Remove parenthesis around (-2 + 5i) -2 + 5i + -1(6 + -8i) = 0 -2 + 5i + (6 * -1 + -8i * -1) = 0 -2 + 5i + (-6 + 8i) = 0 Reorder the terms: -2 + -6 + 5i + 8i = 0 Combine like terms: -2 + -6 = -8 -8 + 5i + 8i = 0 Combine like terms: 5i + 8i = 13i -8 + 13i = 0 Solving -8 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13i = 0 + 8 13i = 0 + 8 Combine like terms: 0 + 8 = 8 13i = 8 Divide each side by '13'. i = 0.6153846154 Simplifying i = 0.6153846154
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