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Simplifying (a + 4) + 2bi = 6 + -5i Reorder the terms: (4 + a) + 2bi = 6 + -5i Remove parenthesis around (4 + a) 4 + a + 2bi = 6 + -5i Solving 4 + a + 2bi = 6 + -5i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + a + -4 + 2bi = 6 + -4 + -5i Reorder the terms: 4 + -4 + a + 2bi = 6 + -4 + -5i Combine like terms: 4 + -4 = 0 0 + a + 2bi = 6 + -4 + -5i a + 2bi = 6 + -4 + -5i Combine like terms: 6 + -4 = 2 a + 2bi = 2 + -5i Add '-2bi' to each side of the equation. a + 2bi + -2bi = 2 + -2bi + -5i Combine like terms: 2bi + -2bi = 0 a + 0 = 2 + -2bi + -5i a = 2 + -2bi + -5i Simplifying a = 2 + -2bi + -5i
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