To determine if \( d = 12 \) is a solution to the equation \( 2 = d - 10 \), we can substitute \( d \) with 12 and see if both sides of the equation are equal.
Starting with the equation:
\[ 2 = d - 10 \]
Substituting \( d = 12 \):
\[ 2 = 12 - 10 \]
Now, calculate the right side:
\[ 12 - 10 = 2 \]
So the equation becomes:
\[ 2 = 2 \]
Since both sides are equal, \( d = 12 \) is indeed a solution to the equation.