You have the following statement:
- 6 less than twice the difference of a number and 8 is equal to 14.
To determine the algebraic expression of the previous situation, you analize by parts the previous sentence.
- The difference of a number and 8: it can be taken as n - 8
- Twice the difference of a number and 8: 2(n - 8)
- 6 less than twice the difference of a number and height: 6 - 2(n - 8)
Thus, the algebraic equation is:
6 - 2(n - 8) = 14