4. \( -1-7 p=13 \)

First, to solve the equation \( -1 - 7p = 13 \), we need to isolate the variable \( p \). Start by adding 1 to both sides to eliminate the -1: \[ -7p = 13 + 1 \] \[ -7p = 14 \] Now, divide both sides by -7 to solve for \( p \): \[ p = \frac{14}{-7} \] \[ p = -2 \] So, the solution to the equation is \( p = -2 \). Now, let's explore some interesting tidbits! When dealing with equations involving variables, it's like a treasure hunt where every operation brings you closer to the prize: finding the value of the variable! Just remember to balance both sides like a seesaw—what you do to one side, you must do to the other. Also, don't hesitate to check your work! Plugging \( p = -2 \) back into the original equation gives you: \[ -1 - 7(-2) = -1 + 14 = 13 \] Verifying your solutions is like getting a second opinion; it can confirm that you’ve hit the jackpot!