Question

How do you solve \[2n-4m=8\]?

Answer 1

Hint: In this problem, we have to solve and find the value of n. We can just solve this by adding/subtracting similar numbers to simplify and solve for n. In this problem, we can add 4m on both the left-hand side and the right-hand side of the equation and we can divide the number 2, on both the right-hand side and the left-hand side of the equation to get the final answer.

Complete step by step answer:
We know that the given equation to be solved is,
\[2n-4m=8\]
We can just solve this by adding/subtracting similar numbers to simplify and solve for n.
Now we can add 4m on both the left-hand side and the right-hand side of the equation, we get
\[\Rightarrow 2n-4m+4m=8+4m\]
Now we can cancel the similar terms, we get
\[\Rightarrow 2n=8+4m\]
Now we can divide the number 2, on both the right-hand side and the left-hand side of the equation, we get
\[\Rightarrow \dfrac{2n}{2}=\dfrac{8+4m}{2}\]
Now we can cancel the similar terms in the numerator and the denominator, we get
\[\Rightarrow n=\dfrac{8+4m}{2}\]

Therefore, the value of \[n=\dfrac{8+4m}{2}\].

Note: Students make mistakes while adding/subtracting similar numbers to simplify, which should be concentrated. we should know to cancel the similar terms to further simplify it. If we are given a number for the unknown variable in the question, then we can substitute the number for that unknown variable to get an exact answer.