Solve for F 4hF+n=r

$4 h F + n = r$

Subtract $n$ from both sides of the equation.

$4 h F = r - n$

Divide each term in $4 h F = r - n$ by $4 h$ and simplify.

Divide each term in $4 h F = r - n$ by $4 h$ .

$\frac{4 h F}{4 h} = \frac{r}{4 h} + \frac{- n}{4 h}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 h F}{4 h} = \frac{r}{4 h} + \frac{- n}{4 h}$

Rewrite the expression.

$\frac{h F}{h} = \frac{r}{4 h} + \frac{- n}{4 h}$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{h F}{h} = \frac{r}{4 h} + \frac{- n}{4 h}$

Divide $F$ by $1$ .

$F = \frac{r}{4 h} + \frac{- n}{4 h}$

Simplify the right side.

Move the negative in front of the fraction.

$F = \frac{r}{4 h} - \frac{n}{4 h}$