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Simplifying (a + 6) + 2bi = 7 + -5i Reorder the terms: (6 + a) + 2bi = 7 + -5i Remove parenthesis around (6 + a) 6 + a + 2bi = 7 + -5i Solving 6 + a + 2bi = 7 + -5i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + a + -6 + 2bi = 7 + -6 + -5i Reorder the terms: 6 + -6 + a + 2bi = 7 + -6 + -5i Combine like terms: 6 + -6 = 0 0 + a + 2bi = 7 + -6 + -5i a + 2bi = 7 + -6 + -5i Combine like terms: 7 + -6 = 1 a + 2bi = 1 + -5i Add '-2bi' to each side of the equation. a + 2bi + -2bi = 1 + -2bi + -5i Combine like terms: 2bi + -2bi = 0 a + 0 = 1 + -2bi + -5i a = 1 + -2bi + -5i Simplifying a = 1 + -2bi + -5i
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