To find the 12th term of the sequence defined by the formula \( a_k = -6 + (k - 1) \cdot 12 \), we can substitute \( k = 12 \) into the formula.
\[ a_{12} = -6 + (12 - 1) \cdot 12 \]
Now, calculate \( 12 - 1 \):
\[ 12 - 1 = 11 \]
Now substitute this back into the equation:
\[ a_{12} = -6 + 11 \cdot 12 \]
Next, calculate \( 11 \cdot 12 \):
\[ 11 \cdot 12 = 132 \]
Now substitute this into the equation for \( a_{12} \):
\[ a_{12} = -6 + 132 \]
Finally, calculate \( -6 + 132 \):
\[ a_{12} = 126 \]
Thus, the 12th term \( a_{12} = 126 \).