Solve for l r=l/(N+q)

$r = \frac{l}{N + q}$

Rewrite the equation as $\frac{l}{N + q} = r$ .

$\frac{l}{N + q} = r$

Multiply both sides by $N + q$ .

$\frac{l}{N + q} (N + q) = r (N + q)$

Simplify.

Simplify the left side.

Cancel the common factor of $N + q$ .

Cancel the common factor.

$\frac{l}{N + q} (N + q) = r (N + q)$

Rewrite the expression.

$l = r (N + q)$

$l = r (N + q)$

$l = r (N + q)$

Simplify the right side.

Simplify $r (N + q)$ .

Apply the distributive property.

$l = r N + r q$

Reorder $r$ and $q$ .

$l = r N + q r$

$l = r N + q r$

$l = r N + q r$

$l = r N + q r$

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