To solve for p in the equation 35p - 30(p - 4) = 197.50, follow these steps:
1. Distribute the -30 on the left side of the equation:
35p - 30p + 120 = 197.50
2. Combine like terms:
5p + 120 = 197.50
3. Subtract 120 from both sides to isolate the term with p:
5p = 197.50 - 120
5p = 77.50
4. Finally, divide both sides by 5 to solve for p:
p = 77.50 / 5
p = 15.50
So, the solution for p is p = 15.50.