Solve for n kn+4f=9v

$k n + 4 f = 9 v$

Subtract $4 f$ from both sides of the equation.

$k n = 9 v - 4 f$

Divide each term in $k n = 9 v - 4 f$ by $k$ and simplify.

Divide each term in $k n = 9 v - 4 f$ by $k$ .

$\frac{k n}{k} = \frac{9 v}{k} + \frac{- 4 f}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{k n}{k} = \frac{9 v}{k} + \frac{- 4 f}{k}$

Divide $n$ by $1$ .

$n = \frac{9 v}{k} + \frac{- 4 f}{k}$

Simplify the right side.

Move the negative in front of the fraction.

$n = \frac{9 v}{k} - \frac{4 f}{k}$