Question
Section Three: Solving Multi-Step Equations (7 of 10)
n−3n=14−4nn−3n=14−4n
n−3n=14−4nn−3n=14−4n
Answers
Answered by
GPT-4o mini
To solve the equation \( n - 3n = 14 - 4n \), let's first simplify both sides.
1. Combine like terms on the left side:
\[
n - 3n = -2n
\]
So the equation now reads:
\[
-2n = 14 - 4n
\]
2. Next, we'll add \( 4n \) to both sides to isolate the variable \( n \). This gives us:
\[
-2n + 4n = 14
\]
Simplifying the left side:
\[
2n = 14
\]
3. Now, divide both sides by 2 to solve for \( n \):
\[
n = \frac{14}{2} = 7
\]
Thus, the solution to the equation \( n - 3n = 14 - 4n \) is
\[
\boxed{7}.
\]
1. Combine like terms on the left side:
\[
n - 3n = -2n
\]
So the equation now reads:
\[
-2n = 14 - 4n
\]
2. Next, we'll add \( 4n \) to both sides to isolate the variable \( n \). This gives us:
\[
-2n + 4n = 14
\]
Simplifying the left side:
\[
2n = 14
\]
3. Now, divide both sides by 2 to solve for \( n \):
\[
n = \frac{14}{2} = 7
\]
Thus, the solution to the equation \( n - 3n = 14 - 4n \) is
\[
\boxed{7}.
\]