Solve the following equation, and check your solution. point(s) possible \( 7 p+8=10+6 p \) The solution set is \( \} \).

To solve the equation \( 7p + 8 = 10 + 6p \), we first want to isolate \( p \). 1. Subtract \( 6p \) from both sides: \[ 7p - 6p + 8 = 10 \] This simplifies to: \[ p + 8 = 10 \] 2. Next, subtract 8 from both sides: \[ p = 10 - 8 \] This gives us: \[ p = 2 \] To check the solution, substitute \( p = 2 \) back into the original equation: \[ 7(2) + 8 = 10 + 6(2) \] Calculating both sides: \[ 14 + 8 = 10 + 12 \] \[ 22 = 22 \] Since both sides are equal, \( p = 2 \) is indeed the correct solution. The solution set is \( \{ 2 \} \).