Solve for n -14n+q=rt-4n

$- 14 n + q = r t - 4 n$

Move all terms containing $n$ to the left side of the equation.

Add $4 n$ to both sides of the equation.

$- 14 n + q + 4 n = r t$

Add $- 14 n$ and $4 n$ .

$- 10 n + q = r t$

Subtract $q$ from both sides of the equation.

$- 10 n = r t - q$

Divide each term in $- 10 n = r t - q$ by $- 10$ and simplify.

Divide each term in $- 10 n = r t - q$ by $- 10$ .

$\frac{- 10 n}{- 10} = \frac{r t}{- 10} + \frac{- q}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 n}{- 10} = \frac{r t}{- 10} + \frac{- q}{- 10}$

Divide $n$ by $1$ .

$n = \frac{r t}{- 10} + \frac{- q}{- 10}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$n = - \frac{r t}{10} + \frac{- q}{- 10}$

Dividing two negative values results in a positive value.

$n = - \frac{r t}{10} + \frac{q}{10}$