According to the given data we have the following expression:
-4(-1-10n)-(n-2)
So, to simplify the following expression we would make the following steps:
1. We would have to expand -4(-1-10n) by applying the distributive law
distributive law
[tex]a\mleft(b-c\mright)=ab-ac[/tex]Hence, -4(-1-10n)=4 + 40n
So, 4 + 40n -(n-2)
Then:
With -(n-2) we would have to distribute parentheses.
[tex]=-\mleft(n\mright)-\mleft(-2\mright)[/tex][tex]=-n+2[/tex]So, finally we would have to simplify 4 + 40n - n+2
We would have to add similar elements and similar numbers, so the simplified expression would be:
6 + 39n