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Simplifying (5 + -4i) + -1(9 + -6i) = 0 Remove parenthesis around (5 + -4i) 5 + -4i + -1(9 + -6i) = 0 5 + -4i + (9 * -1 + -6i * -1) = 0 5 + -4i + (-9 + 6i) = 0 Reorder the terms: 5 + -9 + -4i + 6i = 0 Combine like terms: 5 + -9 = -4 -4 + -4i + 6i = 0 Combine like terms: -4i + 6i = 2i -4 + 2i = 0 Solving -4 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2i = 0 + 4 2i = 0 + 4 Combine like terms: 0 + 4 = 4 2i = 4 Divide each side by '2'. i = 2 Simplifying i = 2
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