Seven subtracted from five times a number, then the difference added to nine times a number.
(5n - 7) + 9n
The product of five and a number
To solve this problem, let's break it down step by step.
Let's start with "Five times a number". Suppose the number is represented by the variable "x". To get five times the number, we multiply 5 by x, which gives us 5x.
Next, we subtract seven from the result of step 1. So, we have 5x - 7.
Finally, we add the difference obtained in step 2 to "nine times a number". Using the variable "x" again, we multiply 9 by x, giving us 9x. We then add 5x - 7 to 9x.
Combining these steps, the expression becomes:
(5x - 7) + (9x)
Now, you can simplify this expression by combining like terms:
5x + 9x - 7
This gives us the final expression for "Seven subtracted from five times a number, then the difference added to nine times a number":
14x - 7