To determine if \( h = 12 \) is a solution to the equation \( h - 11 = 2 \), we can substitute \( h \) with 12 in the equation and see if it holds true.
Starting with the equation:
\[ h - 11 = 2 \]
Substituting \( h = 12 \):
\[ 12 - 11 = 2 \]
Now, calculating the left side:
\[ 1 = 2 \]
Since \( 1 \) does not equal \( 2 \), \( h = 12 \) is not a solution to the equation \( h - 11 = 2 \).
Let's find the actual solution by solving the equation:
\[ h - 11 = 2 \] \[ h = 2 + 11 \] \[ h = 13 \]
So, the solution to the equation is \( h = 13 \).