Solve for p (r-p)/4=S

$\frac{r - p}{4} = S$

Multiply both sides by $4$ .

$\frac{r - p}{4} \cdot 4 = S \cdot 4$

Simplify.

Simplify the left side.

Simplify $\frac{r - p}{4} \cdot 4$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{r - p}{4} \cdot 4 = S \cdot 4$

Rewrite the expression.

$r - p = S \cdot 4$

Reorder $r$ and $- p$ .

$- p + r = S \cdot 4$

Simplify the right side.

Move $4$ to the left of $S$ .

$- p + r = 4 S$

Solve for $p$ .

Subtract $r$ from both sides of the equation.

$- p = 4 S - r$

Divide each term in $- p = 4 S - r$ by $- 1$ and simplify.

Divide each term in $- p = 4 S - r$ by $- 1$ .

$\frac{- p}{- 1} = \frac{4 S}{- 1} + \frac{- r}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{p}{1} = \frac{4 S}{- 1} + \frac{- r}{- 1}$

Divide $p$ by $1$ .

$p = \frac{4 S}{- 1} + \frac{- r}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{4 S}{- 1}$ .

$p = - 1 \cdot (4 S) + \frac{- r}{- 1}$

Rewrite $- 1 \cdot (4 S)$ as $- (4 S)$ .

$p = - (4 S) + \frac{- r}{- 1}$

Multiply $4$ by $- 1$ .

$p = - 4 S + \frac{- r}{- 1}$

Dividing two negative values results in a positive value.

$p = - 4 S + \frac{r}{1}$

Divide $r$ by $1$ .

$p = - 4 S + r$