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Simplifying a + 2bi + 3 = 6 + -1 Reorder the terms: 3 + a + 2bi = 6 + -1 Combine like terms: 6 + -1 = 5 3 + a + 2bi = 5 Solving 3 + a + 2bi = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a + -3 + 2bi = 5 + -3 Reorder the terms: 3 + -3 + a + 2bi = 5 + -3 Combine like terms: 3 + -3 = 0 0 + a + 2bi = 5 + -3 a + 2bi = 5 + -3 Combine like terms: 5 + -3 = 2 a + 2bi = 2 Add '-2bi' to each side of the equation. a + 2bi + -2bi = 2 + -2bi Combine like terms: 2bi + -2bi = 0 a + 0 = 2 + -2bi a = 2 + -2bi Simplifying a = 2 + -2bi
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