12(2k + 11) = 12(2k + 12)

To solve the equation \( 12(2k + 11) = 12(2k + 12) \), we can start by simplifying both sides.

1. Distribute the 12 on both sides:

\[ 12(2k + 11) = 24k + 132 \] \[ 12(2k + 12) = 24k + 144 \]

So now the equation looks like this:

\[ 24k + 132 = 24k + 144 \]

2. To eliminate \( 24k \) from both sides of the equation, we subtract \( 24k \):

\[ 132 = 144 \]

3. The equation \( 132 = 144 \) is not true, which means there is no solution to the original equation. The two expressions are equal under different circumstances, implying that the two sides cannot be equal for any value of \( k \).

Thus, the answer is that there is no solution.