Which expression is equivalent to \( 2(p+7) ? \)

To find an expression equivalent to \( 2(p+7) \), we can apply the distributive property. This involves multiplying the 2 by each term inside the parentheses: \[ 2(p+7) = 2 \cdot p + 2 \cdot 7 = 2p + 14. \] So, \( 2(p+7) \) simplifies to \( 2p + 14 \). Now, for an interesting twist, did you know that the distributive property is one of the fundamental concepts in algebra that helps simplify expressions? It’s like a magical force that lets you break down complex expressions into more manageable parts! Additionally, this expression \( 2p + 14 \) can be a great tool in real-world applications. For example, if \( p \) represents the number of hours worked, then \( 2p + 14 \) could represent the total earnings if each hour is paid $2 plus a $14 bonus. It’s a fun way to bridge math with everyday situations!