Could you explain it more clearly (the language barrier troubles me)?
-When series of locants containing the same number of terms are compared term by term, that series is "lowest" which contains the lowest number on the occasion of the first difference.
Don' understand the meaning of locants, term, lowest number on the occasion, first difference - in this context.
-This principle is applied irrespective of the nature of the substituents.
"irrespective of the nature"-?
Let me try to walk you through these two questions. Starting with the second - "irrespective of the nature of the substituents" means that for the purposes of applying this rule, it doesn't matter whether the substituents you are trying to number are ethyl or methyl groups, all you care about is which carbon the substituent is attached to.
Now the first question:
"locants" - you are trying to describe the position of your substituents on a chain of 8 carbon. Each carbon atom on the chain is a possible locant for a substituent, and the locants are numbered 1 through 8.
"terms" - these are the descriptions of the substituents. For your example, numbered one way, the terms (in numerical order) are 2-methyl, 2-methyl, 6-methyl, 6-ethyl, and 7 methyl, while numbered the other way, the terms are 2-methyl, 3-methyl, 3-ethyl, 7-methyl, and 7-methyl.
With me so far?
Now, you want to compare your terms "term by term" - that means comparing the first term in one series, with the first term in the other series, and the second with the second, and so on. So, first term -
2-methyl compared with 2-methyl - there is no difference.
Second term -
2-methyl with 3-methyl - there is a difference!
Ding, ding, ding, we have a winner. It doesn't matter what the rest of the substituents look like, all you are concerned with is the "lowest number on the occasion of the first difference." The second term shows a difference, and the lowest number (2) gets the priority. So the name would be 6-ethyl-2,2,6,7-tetramethyl octane.