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Simplifying (a + 9) + 7bi = 9 + -6i Reorder the terms: (9 + a) + 7bi = 9 + -6i Remove parenthesis around (9 + a) 9 + a + 7bi = 9 + -6i Add '-9' to each side of the equation. 9 + a + -9 + 7bi = 9 + -9 + -6i Reorder the terms: 9 + -9 + a + 7bi = 9 + -9 + -6i Combine like terms: 9 + -9 = 0 0 + a + 7bi = 9 + -9 + -6i a + 7bi = 9 + -9 + -6i Combine like terms: 9 + -9 = 0 a + 7bi = 0 + -6i a + 7bi = -6i Solving a + 7bi = -6i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7bi' to each side of the equation. a + 7bi + -7bi = -7bi + -6i Combine like terms: 7bi + -7bi = 0 a + 0 = -7bi + -6i a = -7bi + -6i Simplifying a = -7bi + -6i
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