To evaluate the expression \(7d - 5c\) using the given values \(d = 7\) and \(c = 3\), we can substitute the values into the expression:
\[ 7d - 5c = 7(7) - 5(3) \]
Calculating \(7(7)\):
\[ 7(7) = 49 \]
Calculating \(5(3)\):
\[ 5(3) = 15 \]
Now substitute these results back into the expression:
\[ 49 - 15 \]
Now perform the subtraction:
\[ 49 - 15 = 34 \]
Therefore, the value of the expression is \(34\).
The best answer from the options provided is D. 34.