Solve for n R=na-nr

$R = n a - n r$

Step 1

Rewrite the equation as $n a - n r = R$ .

$n a - n r = R$

Step 2

Factor $n$ out of $n a - n r$ .

Factor $n$ out of $n a$ .

$n (a) - n r = R$

Factor $n$ out of $- n r$ .

$n (a) + n (- 1 r) = R$

Factor $n$ out of $n (a) + n (- 1 r)$ .

$n (a - 1 r) = R$

Step 3

Rewrite $- 1 r$ as $- r$ .

$n (a - r) = R$

Step 4

Divide each term in $n (a - r) = R$ by $a - r$ and simplify.

Divide each term in $n (a - r) = R$ by $a - r$ .

$\frac{n (a - r)}{a - r} = \frac{R}{a - r}$

Simplify the left side.

Cancel the common factor of $a - r$ .

Cancel the common factor.

$\frac{n (a - r)}{a - r} = \frac{R}{a - r}$

Divide $n$ by $1$ .

$n = \frac{R}{a - r}$