Question 922637
the difference between eight times a number and 7 more than 2 times the number

Answer:

Eight times a number can be expressed as 8n, where n is the number.
Similarly, two times a number can be expressed as 2n.  7 more than that is expresed as 2n+7.
Difference means subtracting one from the other.
8n minus 2n+7 means, first, subtracting 2n from 8n, leaving 6n.  Then we subtract 7 (from the 2n+7), but having no number to subtract the 7 from, we can only say -7.
So, we have 6n-7 as our answer.
Expressed as an equation:

8n - (2n+7) = 6n-7