Solve for r 6r-1+6r=11

$6 r - 1 + 6 r = 11$

Step 1

Add $6 r$ and $6 r$ .

$12 r - 1 = 11$

Step 2

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

Add $1$ to both sides of the equation.

$12 r = 11 + 1$

Add $11$ and $1$ .

$12 r = 12$

Step 3

Divide each term in $12 r = 12$ by $12$ and simplify.

Divide each term in $12 r = 12$ by $12$ .

$\frac{12 r}{12} = \frac{12}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 r}{12} = \frac{12}{12}$

Divide $r$ by $1$ .

$r = \frac{12}{12}$

Simplify the right side.

Divide $12$ by $12$ .

$r = 1$