To simplify the expression \((6q + 1)(3)\), you can distribute the \(3\) across the terms inside the parentheses:
\[ (6q + 1)(3) = 6q \cdot 3 + 1 \cdot 3 \]
Calculating each term, you get:
\[ 6q \cdot 3 = 18q \] \[ 1 \cdot 3 = 3 \]
Now, combine these results:
\[ 18q + 3 \]
So, the simplified expression is:
\[ \boxed{18q + 3} \]