To solve for \( c \) in the equation \( c + 8.1 = 7.51 \), you need to isolate \( c \) by subtracting \( 8.1 \) from both sides:
\[ c = 7.51 - 8.1 \]
Now, perform the subtraction:
\[ c = 7.51 - 8.1 = -0.59 \]
So, the solution is:
\[ c = -0.59 \]