Answer: " n = - 4 " .
__________
Explanation:
Given:
-n + 8 = 12 ; solve for "n" ;
Subtract "8" from each side of the equation:
-n + 8 - 8 = 12 - 8 ;
to get:
-n = 4 ;
Which is the same as:
-1n = 4 ;
Divide each side of the equation by "-1" ; to isolate "n" on one side of the equation; and to solve for "n" :
-1n / -1 = 4 / -1 ;
to get:
" n = - 4 " ; which is our answer.
_______________
Now, let's check our answer:
_______________
→ by plugging in our value obtained for "n" ; which is " - 4 " ;
_______________
-(-4) + 8 ≟ 12 ?? ;
_______________
From the "left-hand sign" of the equation:
_______________
" - (-4) = ⁺ 4 " ;
_______________
Note: The opposite of negative value; or the negative of a negative value; is equal to that very positive value.
_______________
⇒ " 4 + 8 ≟ 12 ? ;
⇒ " 12 ≟ 12 ? ; Yes!
_______________
The correct answer is: " n = - 4 " .
_______________
Hope this helps! Best wishes!
_______________