Final answer:
To solve the equation 9c - 10 = 2c + 53 and find the value of c, combine like terms, perform addition and subtraction operations, and isolate the variable c. The value of c is 9.
Step-by-step explanation:
To solve the equation 9c - 10 = 2c + 53 and find the value of c, we need to isolate the variable c on one side of the equation. We can do this by combining like terms and performing addition and subtraction operations. Here are the steps:
- Add 10 to both sides of the equation to get 9c = 2c + 63.
- Subtract 2c from both sides of the equation to get 9c - 2c = 63.
- Combine like terms to get 7c = 63.
- Divide both sides of the equation by 7 to solve for c. c = 63/7 = 9.
Therefore, the value of c is 9.