To solve the equation [tex]\(13n - 6p - 11n = 2p\)[/tex] for [tex]\(n\)[/tex], follow these steps:
1. Simplify the equation by combining like terms on the left-hand side:
[tex]\[
13n - 11n - 6p = 2p
\][/tex]
This reduces to:
[tex]\[
2n - 6p = 2p
\][/tex]
2. Isolate the [tex]\(n\)[/tex] term by moving all terms involving [tex]\(p\)[/tex] to the right-hand side:
[tex]\[
2n = 2p + 6p
\][/tex]
Simplify the right-hand side:
[tex]\[
2n = 8p
\][/tex]
3. Solve for [tex]\(n\)[/tex] by dividing both sides of the equation by 2:
[tex]\[
n = \frac{8p}{2}
\][/tex]
This simplifies to:
[tex]\[
n = 4p
\][/tex]
Therefore, the solution for [tex]\(n\)[/tex] is:
[tex]\[ \boxed{n = 4p} \][/tex]
Thus, the correct answer is [tex]\(D\)[/tex].
