### Instruction: Expand the following expression: $16(2x+5)$.### Response: To expand this expression, I need to use the distributive property of multiplication over addition.
This means I can multiply the 16 by each term inside the parentheses and then add the results.
So, I have $16(2x+5) = 16 \cdot 2x + 16 \cdot 5$.
Now I just need to simplify this by performing the arithmetic.
I know that $16 \cdot 2 = 32$ and $16 \cdot 5 = 80$.
So, I have $16 \cdot 2x + 16 \cdot 5 = 32x + 80$.
This is the expanded form of the expression.