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Simplifying (-4 + 3a) + 2bi = 11 + -12i Remove parenthesis around (-4 + 3a) -4 + 3a + 2bi = 11 + -12i Solving -4 + 3a + 2bi = 11 + -12i 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 + 3a + 4 + 2bi = 11 + 4 + -12i Reorder the terms: -4 + 4 + 3a + 2bi = 11 + 4 + -12i Combine like terms: -4 + 4 = 0 0 + 3a + 2bi = 11 + 4 + -12i 3a + 2bi = 11 + 4 + -12i Combine like terms: 11 + 4 = 15 3a + 2bi = 15 + -12i Add '-2bi' to each side of the equation. 3a + 2bi + -2bi = 15 + -2bi + -12i Combine like terms: 2bi + -2bi = 0 3a + 0 = 15 + -2bi + -12i 3a = 15 + -2bi + -12i Divide each side by '3'. a = 5 + -0.6666666667bi + -4i Simplifying a = 5 + -0.6666666667bi + -4i
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