To solve the equation \( n - 3n = 14 - 4n \), let's first simplify both sides.
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Combine like terms on the left side:
\[ n - 3n = -2n \]
So the equation now reads:
\[ -2n = 14 - 4n \]
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Next, we'll add \( 4n \) to both sides to isolate the variable \( n \). This gives us:
\[ -2n + 4n = 14 \]
Simplifying the left side:
\[ 2n = 14 \]
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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
\[ \boxed{7}. \]