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Simplifying (7 + 9i) + -1(9 + -4i) = 0 Remove parenthesis around (7 + 9i) 7 + 9i + -1(9 + -4i) = 0 7 + 9i + (9 * -1 + -4i * -1) = 0 7 + 9i + (-9 + 4i) = 0 Reorder the terms: 7 + -9 + 9i + 4i = 0 Combine like terms: 7 + -9 = -2 -2 + 9i + 4i = 0 Combine like terms: 9i + 4i = 13i -2 + 13i = 0 Solving -2 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13i = 0 + 2 13i = 0 + 2 Combine like terms: 0 + 2 = 2 13i = 2 Divide each side by '13'. i = 0.1538461538 Simplifying i = 0.1538461538
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