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Simplifying (2 + -4i) + -1(7 + 2i) = 0 Remove parenthesis around (2 + -4i) 2 + -4i + -1(7 + 2i) = 0 2 + -4i + (7 * -1 + 2i * -1) = 0 2 + -4i + (-7 + -2i) = 0 Reorder the terms: 2 + -7 + -4i + -2i = 0 Combine like terms: 2 + -7 = -5 -5 + -4i + -2i = 0 Combine like terms: -4i + -2i = -6i -5 + -6i = 0 Solving -5 + -6i = 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 + -6i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6i = 0 + 5 -6i = 0 + 5 Combine like terms: 0 + 5 = 5 -6i = 5 Divide each side by '-6'. i = -0.8333333333 Simplifying i = -0.8333333333
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