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Simplifying (5 + 7i) + -1(9 + -2i) = 0 Remove parenthesis around (5 + 7i) 5 + 7i + -1(9 + -2i) = 0 5 + 7i + (9 * -1 + -2i * -1) = 0 5 + 7i + (-9 + 2i) = 0 Reorder the terms: 5 + -9 + 7i + 2i = 0 Combine like terms: 5 + -9 = -4 -4 + 7i + 2i = 0 Combine like terms: 7i + 2i = 9i -4 + 9i = 0 Solving -4 + 9i = 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 + 9i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9i = 0 + 4 9i = 0 + 4 Combine like terms: 0 + 4 = 4 9i = 4 Divide each side by '9'. i = 0.4444444444 Simplifying i = 0.4444444444
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