Solve for b rb=m+9b

$r b = m + 9 b$

Step 1

Subtract $9 b$ from both sides of the equation.

$r b - 9 b = m$

Step 2

Factor $b$ out of $r b - 9 b$ .

Factor $b$ out of $r b$ .

$b r - 9 b = m$

Factor $b$ out of $- 9 b$ .

$b r + b \cdot - 9 = m$

Factor $b$ out of $b r + b \cdot - 9$ .

$b (r - 9) = m$

Step 3

Divide each term in $b (r - 9) = m$ by $r - 9$ and simplify.

Divide each term in $b (r - 9) = m$ by $r - 9$ .

$\frac{b (r - 9)}{r - 9} = \frac{m}{r - 9}$

Simplify the left side.

Cancel the common factor of $r - 9$ .

Cancel the common factor.

$\frac{b (r - 9)}{r - 9} = \frac{m}{r - 9}$

Divide $b$ by $1$ .

$b = \frac{m}{r - 9}$