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Simplifying (5 + 5i) + -1(8 + -6i) = 0 Remove parenthesis around (5 + 5i) 5 + 5i + -1(8 + -6i) = 0 5 + 5i + (8 * -1 + -6i * -1) = 0 5 + 5i + (-8 + 6i) = 0 Reorder the terms: 5 + -8 + 5i + 6i = 0 Combine like terms: 5 + -8 = -3 -3 + 5i + 6i = 0 Combine like terms: 5i + 6i = 11i -3 + 11i = 0 Solving -3 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11i = 0 + 3 11i = 0 + 3 Combine like terms: 0 + 3 = 3 11i = 3 Divide each side by '11'. i = 0.2727272727 Simplifying i = 0.2727272727
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