To solve the equation \( 22n - 21n - 14 = -21 \), we can start by simplifying the left side.
First, combine the terms involving \( n \):
\[ 22n - 21n = n \]
Now the equation becomes:
\[ n - 14 = -21 \]
Next, we want to isolate \( n \). To do this, add 14 to both sides of the equation:
\[ n - 14 + 14 = -21 + 14 \]
This simplifies to:
\[ n = -7 \]
So the solution to the equation is:
\[ n = -7 \]