To solve the equation \(10 - n = 7n - 14\), we can start by isolating \(n\) on one side of the equation.
First, let's add \(n\) to both sides of the equation:
\[ 10 = 8n - 14 \]
Next, we can add 14 to both sides:
\[ 10 + 14 = 8n \] \[ 24 = 8n \]
Now, divide both sides by 8 to solve for \(n\):
\[ n = \frac{24}{8} = 3 \]
Thus, the solution is:
\[ n = 3 \]