Solve for n i=(na)/(nr+R)

$i = \frac{n a}{n r + R}$

Rewrite the equation as $\frac{n a}{n r + R} = i$ .

$\frac{n a}{n r + R} = i$

Solve for $n$ .

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Multiply each term by $n r + R$ and simplify.

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Multiply each term in $\frac{n a}{n r + R} = i$ by $n r + R$ .

$\frac{n a}{n r + R} \cdot (n r + R) = i \cdot (n r + R)$

Cancel the common factor of $n r + R$ .

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Cancel the common factor.

$\frac{n a}{n r + R} \cdot (n r + R) = i \cdot (n r + R)$

Rewrite the expression.

$n a = i \cdot (n r + R)$

Apply the distributive property.

$n a = i n r + i R$

Subtract $i n r$ from both sides of the equation.

$n a - i n r = i R$

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

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Factor $n$ out of $n a$ .

$n (a) - i n r = i R$

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

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

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

$n (a - i r) = i R$

Divide each term by $a - i r$ and simplify.

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

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

Cancel the common factor of $a - i r$ .

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Cancel the common factor.

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

Divide $n$ by $1$ .

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

Solve for n i=(na)/(nr+R)

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