Explanation:

1. Identify the given equation:

   $P = N(34-C)$

2. Isolate the term containing C:

   Since P and N are distinct positive values, N cannot be zero, so we can divide by N.

   Divide both sides by N:

   $\dfrac{P}{N} = 34 - C$

3. Solve for C:

   To isolate C, we can add C to both sides and subtract $\dfrac{P}{N}$ from both sides:

   $C + \dfrac{P}{N} = 34$

   $C = 34 - \dfrac{P}{N}$

4. Compare with the given options:

   @[A] $C+\dfrac{P}{N}$ (This is an expression equal to $34$, not C)

   @[B] $34+\dfrac{P}{N}$

   @[C] $34-\dfrac{P}{C}$ (C appears on both sides, not a solution for C)

   @[D] $34-\dfrac{P}{N}$ - This matches our derived expression for C.

5. Conclusion:

   The expression that represents the value of C is $34-\dfrac{P}{N}$ . The correct answer is D.