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Simplifying 0 = (6 + -4i) + -2(4 + -5i) Remove parenthesis around (6 + -4i) 0 = 6 + -4i + -2(4 + -5i) 0 = 6 + -4i + (4 * -2 + -5i * -2) 0 = 6 + -4i + (-8 + 10i) Reorder the terms: 0 = 6 + -8 + -4i + 10i Combine like terms: 6 + -8 = -2 0 = -2 + -4i + 10i Combine like terms: -4i + 10i = 6i 0 = -2 + 6i Solving 0 = -2 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 0 + -6i = -2 + 6i + -6i Remove the zero: -6i = -2 + 6i + -6i Combine like terms: 6i + -6i = 0 -6i = -2 + 0 -6i = -2 Divide each side by '-6'. i = 0.3333333333 Simplifying i = 0.3333333333
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