Find the positive difference between $2(6) + 4(3)$ and $8(3+3)$.
To find the positive difference between two expressions, I need to subtract the smaller one from the larger one and make sure the result is positive. First, I will simplify both expressions by using the distributive property and order of operations. $2(6) + 4(3) = 2 \cdot 6 + 4 \cdot 3 = 12 + 12 = 24$. $8(3+3) = 8 \cdot (3 + 3) = 8 \cdot 6 = 48$. Now, I can see that $48$ is larger than $24$, so I will subtract $24$ from $48$. $48 - 24 = 24$. The positive difference is $24$. 