Solve for b b/(d-g)=n

$\frac{b}{d - g} = n$

Step 1

Multiply both sides by $d - g$ .

$\frac{b}{d - g} (d - g) = n (d - g)$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $d - g$ .

Cancel the common factor.

$\frac{b}{d - g} (d - g) = n (d - g)$

Rewrite the expression.

$b = n (d - g)$

Simplify the right side.

Simplify $n (d - g)$ .

Apply the distributive property.

$b = n d + n (- g)$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$b = n d - n g$

Reorder $n$ and $d$ .

$b = d n - n g$

Move $n$ .

$b = d n - g n$