Solve for r 7r=7(2r+9)

$7 r = 7 (2 r + 9)$

Simplify $7 (2 r + 9)$ .

Apply the distributive property.

$7 r = 7 (2 r) + 7 \cdot 9$

Multiply.

Multiply $2$ by $7$ .

$7 r = 14 r + 7 \cdot 9$

Multiply $7$ by $9$ .

$7 r = 14 r + 63$

Move all terms containing $r$ to the left side of the equation.

Subtract $14 r$ from both sides of the equation.

$7 r - 14 r = 63$

Subtract $14 r$ from $7 r$ .

$- 7 r = 63$

Divide each term in $- 7 r = 63$ by $- 7$ and simplify.

Divide each term in $- 7 r = 63$ by $- 7$ .

$\frac{- 7 r}{- 7} = \frac{63}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 r}{- 7} = \frac{63}{- 7}$

Divide $r$ by $1$ .

$r = \frac{63}{- 7}$

Simplify the right side.

Divide $63$ by $- 7$ .

$r = - 9$