To solve the equation \( 6n - 7(n + 1) = 6n \), we can first simplify the left side of the equation.
Start with the equation:
\[ 6n - 7(n + 1) = 6n \]
Distribute \(-7\) in the left-hand side:
\[ 6n - 7n - 7 = 6n \]
Combine like terms on the left side:
\[ (6n - 7n) - 7 = 6n \]
This simplifies to:
\[ -n - 7 = 6n \]
Next, add \(n\) to both sides of the equation:
\[ -n + n - 7 = 6n + n \]
This simplifies to:
\[ -7 = 7n \]
Now, divide both sides by 7:
\[ n = -1 \]
Thus, the solution for \(n\) is:
\[ \boxed{-1} \]