Solve for s D=(C-s)/n

$D = \frac{C - s}{n}$

Step 1

Rewrite the equation as $\frac{C - s}{n} = D$ .

$\frac{C - s}{n} = D$

Step 2

Multiply both sides by $n$ .

$\frac{C - s}{n} n = D n$

Step 3

Simplify the left side.

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{C - s}{n} n = D n$

Rewrite the expression.

$C - s = D n$

Step 4

Solve for $s$ .

Subtract $C$ from both sides of the equation.

$- s = D n - C$

Divide each term in $- s = D n - C$ by $- 1$ and simplify.

Divide each term in $- s = D n - C$ by $- 1$ .

$\frac{- s}{- 1} = \frac{D n}{- 1} + \frac{- C}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{s}{1} = \frac{D n}{- 1} + \frac{- C}{- 1}$

Divide $s$ by $1$ .

$s = \frac{D n}{- 1} + \frac{- C}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{D n}{- 1}$ .

$s = - 1 \cdot (D n) + \frac{- C}{- 1}$

Rewrite $- 1 \cdot (D n)$ as $- (D n)$ .

$s = - (D n) + \frac{- C}{- 1}$

Dividing two negative values results in a positive value.

$s = - D n + \frac{C}{1}$

Divide $C$ by $1$ .

$s = - D n + C$