Solve for r 2+r=7+6r

$2 + r = 7 + 6 r$

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

Subtract $6 r$ from both sides of the equation.

$2 + r - 6 r = 7$

Subtract $6 r$ from $r$ .

$2 - 5 r = 7$

Move all terms not containing $r$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$- 5 r = 7 - 2$

Subtract $2$ from $7$ .

$- 5 r = 5$

Divide each term in $- 5 r = 5$ by $- 5$ and simplify.

Divide each term in $- 5 r = 5$ by $- 5$ .

$\frac{- 5 r}{- 5} = \frac{5}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 r}{- 5} = \frac{5}{- 5}$

Divide $r$ by $1$ .

$r = \frac{5}{- 5}$

Simplify the right side.

Divide $5$ by $- 5$ .

$r = - 1$