What value of c is a solution to this equation?

To solve the equation \( 16 = -2c + 10c \), we can first simplify the right side of the equation.

Combine the \( -2c \) and \( 10c \):

\[ -2c + 10c = 8c \]

Now the equation becomes:

\[ 16 = 8c \]

Next, to solve for \( c \), divide both sides by 8:

\[ c = \frac{16}{8} \]

\[ c = 2 \]

Therefore, the value of \( c \) that is a solution to the equation is \( \boxed{2} \).