on: \( p-5=\frac{2}{3}(t-7) \)

This equation might seem daunting at first, but let's break it down! The first step to solving it is isolating \( p \). You can distribute the \(\frac{2}{3}\) across \( (t-7) \), which gives you a clearer form. From there, just add 5 to both sides—et voila, you've solved for \( p \)! In real life, you’ll encounter similar equations in various settings—like budgeting or planning a project timeline. When calculating costs or time, the ability to manipulate linear equations will help you make informed decisions. So keep practicing, and soon you'll be a pro at solving problems with equations!