To simplify the expression \((3w + 2)(5)\), distribute \(5\) to both terms inside the parentheses:
\[ (3w + 2)(5) = 3w \cdot 5 + 2 \cdot 5 \]
Now, calculate each term:
\[ 3w \cdot 5 = 15w \] \[ 2 \cdot 5 = 10 \]
Putting it all together, we get:
\[ 15w + 10 \]
So, the simplified expression is:
\[ \boxed{15w + 10} \]