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Simplifying (a + 3) + -2bi = 7 + -8i Reorder the terms: (3 + a) + -2bi = 7 + -8i Remove parenthesis around (3 + a) 3 + a + -2bi = 7 + -8i Solving 3 + a + -2bi = 7 + -8i 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 = 7 + -3 + -8i Reorder the terms: 3 + -3 + a + -2bi = 7 + -3 + -8i Combine like terms: 3 + -3 = 0 0 + a + -2bi = 7 + -3 + -8i a + -2bi = 7 + -3 + -8i Combine like terms: 7 + -3 = 4 a + -2bi = 4 + -8i Add '2bi' to each side of the equation. a + -2bi + 2bi = 4 + 2bi + -8i Combine like terms: -2bi + 2bi = 0 a + 0 = 4 + 2bi + -8i a = 4 + 2bi + -8i Simplifying a = 4 + 2bi + -8i
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