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Simplifying (2i + 5i) + -1(4 + -6i) = 0 Combine like terms: 2i + 5i = 7i (7i) + -1(4 + -6i) = 0 (7i) + -1(4 + -6i) = 0 (7i) + (4 * -1 + -6i * -1) = 0 (7i) + (-4 + 6i) = 0 Reorder the terms: -4 + (7i) + 6i = 0 Combine like terms: (7i) + 6i = 13i -4 + 13i = 0 Solving -4 + 13i = 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 + 13i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 13i = 0 + 4 13i = 0 + 4 Combine like terms: 0 + 4 = 4 13i = 4 Divide each side by '13'. i = 0.3076923077 Simplifying i = 0.3076923077
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