Final answer:
To solve the equation 4(5c+3) = 9c + 7, distribute, combine like terms, and isolate c to find the solution, which is c = -5/11.
Step-by-step explanation:
The student is asking for the solution to the algebraic equation 4(5c+3) = 9c + 7. To solve this equation, follow these steps:
- Distribute the 4 into the parentheses: 20c + 12 = 9c + 7.
- Subtract 9c from both sides of the equation: 11c + 12 = 7.
- Subtract 12 from both sides of the equation: 11c = -5.
- Divide both sides by 11 to find c: c = -5/11.
So, the solution to the equation 4(5c+3) = 9c + 7 is c = -5/11.