Solve 6=2/1-r

$$6 = \frac{ 2 }{ 1-r }$$

Solve for r

$$r=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Variable r cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -r+1.

$$6\left(-r+1\right)=2$$

Use the distributive property to multiply 6 by -r+1.

$$-6r+6=2$$

Subtract 6 from both sides.

$$-6r=2-6$$

Subtract 6 from 2 to get -4.

$$-6r=-4$$

Divide both sides by -6.

$$r=\frac{-4}{-6}$$

Reduce the fraction \frac{-4}{-6} to lowest terms by extracting and canceling out -2.

$$r=\frac{2}{3}$$