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Simplifying (2 + -5i) + -1(8 + 6i) = 0 Remove parenthesis around (2 + -5i) 2 + -5i + -1(8 + 6i) = 0 2 + -5i + (8 * -1 + 6i * -1) = 0 2 + -5i + (-8 + -6i) = 0 Reorder the terms: 2 + -8 + -5i + -6i = 0 Combine like terms: 2 + -8 = -6 -6 + -5i + -6i = 0 Combine like terms: -5i + -6i = -11i -6 + -11i = 0 Solving -6 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11i = 0 + 6 -11i = 0 + 6 Combine like terms: 0 + 6 = 6 -11i = 6 Divide each side by '-11'. i = -0.5454545455 Simplifying i = -0.5454545455
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