In math, the Variable is represented by letter, which can take many values in an equation, and to each value is attributed an answer. In this equation, n is the variable.
Now let's solve n (Which mean to find the value of n when the answer is 42):
3(8-6n) = 42
First, let's develop 3(8-6n): You multiply 3 by 8, then 3 by 6n:
3(8-6n) = 24 - 18n
So 3(8-6n) = 42
24 - 18n = 42
Then subtract 24 from each side to get the variable on a side and the numbers on another side:
24 - 18n - 24 = 42 - 24
-18n = 18
Divide each side by -18 to get the variable n alone on a side, and its value on the other side:
(-18n)/-18 = 18/(-18)
n = -1
You can re-check your answer (very important):
3(8-6n) = 3(8-6*-1) = 3(8+6) = 3*14 = 42.
The answer has been approved.
Hope this Helps! :)
