To simplify the expression \(-2(9c - 2)\), you can distribute the \(-2\) to both terms inside the parentheses:
\[ -2(9c) + (-2)(-2) \]
Calculating each term:
\[ -2 \cdot 9c = -18c \]
\[ -2 \cdot -2 = 4 \]
Now combine the results:
\[ -18c + 4 \]
So, the simplified expression is:
\[ -18c + 4 \]