Translate the sentence into an equation.

Nine times the sum of a number and 5 is 7
Use the variable c for the unknown number.

9(c + 5) = 7

The sentence "Nine times the sum of a number and 5 is 7" can be translated into the equation:

9(c + 5) = 7

To translate the sentence into an equation, we can follow these steps:

1. Identify the unknown number: In this case, the unknown number is represented by the variable c.

2. Identify the operations described in the sentence: The sentence states that we need to find nine times the sum of the unknown number and 5.

3. Write an equation:
- The sum of the unknown number and 5 is (c + 5).
- Nine times the sum is 9(c + 5).
- Lastly, it is stated that this expression is equal to 7, so we can set up the equation: 9(c + 5) = 7.

Therefore, the equation that represents the given sentence is:
9(c + 5) = 7