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Simplifying (a + 5) + 7bi = 5 + -9i Reorder the terms: (5 + a) + 7bi = 5 + -9i Remove parenthesis around (5 + a) 5 + a + 7bi = 5 + -9i Add '-5' to each side of the equation. 5 + a + -5 + 7bi = 5 + -5 + -9i Reorder the terms: 5 + -5 + a + 7bi = 5 + -5 + -9i Combine like terms: 5 + -5 = 0 0 + a + 7bi = 5 + -5 + -9i a + 7bi = 5 + -5 + -9i Combine like terms: 5 + -5 = 0 a + 7bi = 0 + -9i a + 7bi = -9i Solving a + 7bi = -9i 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 + -9i Combine like terms: 7bi + -7bi = 0 a + 0 = -7bi + -9i a = -7bi + -9i Simplifying a = -7bi + -9i
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