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Simplifying (2 + -6i) + -1(9 + 5i) = 0 Remove parenthesis around (2 + -6i) 2 + -6i + -1(9 + 5i) = 0 2 + -6i + (9 * -1 + 5i * -1) = 0 2 + -6i + (-9 + -5i) = 0 Reorder the terms: 2 + -9 + -6i + -5i = 0 Combine like terms: 2 + -9 = -7 -7 + -6i + -5i = 0 Combine like terms: -6i + -5i = -11i -7 + -11i = 0 Solving -7 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -11i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11i = 0 + 7 -11i = 0 + 7 Combine like terms: 0 + 7 = 7 -11i = 7 Divide each side by '-11'. i = -0.6363636364 Simplifying i = -0.6363636364
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