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Simplifying -5 + -1(-4 + -6i) + -1(-5 + -5i) = 0 -5 + (-4 * -1 + -6i * -1) + -1(-5 + -5i) = 0 -5 + (4 + 6i) + -1(-5 + -5i) = 0 -5 + 4 + 6i + (-5 * -1 + -5i * -1) = 0 -5 + 4 + 6i + (5 + 5i) = 0 Reorder the terms: -5 + 4 + 5 + 6i + 5i = 0 Combine like terms: -5 + 4 = -1 -1 + 5 + 6i + 5i = 0 Combine like terms: -1 + 5 = 4 4 + 6i + 5i = 0 Combine like terms: 6i + 5i = 11i 4 + 11i = 0 Solving 4 + 11i = 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 + 11i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11i = 0 + -4 11i = 0 + -4 Combine like terms: 0 + -4 = -4 11i = -4 Divide each side by '11'. i = -0.3636363636 Simplifying i = -0.3636363636
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