The value of the given algebraic expression is -63/8.
To evaluate an algebraic expression, we substitute the values of the variables in the expression, and then follow the rules of solving a numeral expression.
In the question, we are asked to evaluate the algebraic expression:
{(3a - b)/2c} + {(3a - c)/(c - b)}, given the values of a = 3, b = -2, and c = -4.
To evaluate the expression {(3a - b)/2c} + {(3a - c)/(c - b)}, given the values a = 3, b = -2, and c = -4, we substitute these values in the expression and solve as follows:
{(3(3) - (-2))/2(-4)} + {(3(3) - (-4))/((-4) - (-2))}
= {(9 + 2)/(-8)} + {(9 + 4)/(-4 + 2)}
= {-(11/8)} + {-(13)(2)}
= -(11/8) - (13/2)
= -(11/8) - (52/8)
= -(63/8).
Thus, the value of the given algebraic expression is -63/8.
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