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Simplifying (3 + -6i) + -1(8 + 5i) = 0 Remove parenthesis around (3 + -6i) 3 + -6i + -1(8 + 5i) = 0 3 + -6i + (8 * -1 + 5i * -1) = 0 3 + -6i + (-8 + -5i) = 0 Reorder the terms: 3 + -8 + -6i + -5i = 0 Combine like terms: 3 + -8 = -5 -5 + -6i + -5i = 0 Combine like terms: -6i + -5i = -11i -5 + -11i = 0 Solving -5 + -11i = 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 + -11i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11i = 0 + 5 -11i = 0 + 5 Combine like terms: 0 + 5 = 5 -11i = 5 Divide each side by '-11'. i = -0.4545454545 Simplifying i = -0.4545454545
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