Solve 0.1=R*12/R+1

$$0.1 = \frac{ R \times 12 }{ R+1 }$$

Solve for R

$$R=\frac{1}{119}\approx 0.008403361$$

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.

$$0.1\left(R+1\right)=R\times 12$$

Use the distributive property to multiply 0.1 by R+1.

$$0.1R+0.1=R\times 12$$

Subtract R\times 12 from both sides.

$$0.1R+0.1-R\times 12=0$$

Combine 0.1R and -R\times 12 to get -11.9R.

$$-11.9R+0.1=0$$

Subtract 0.1 from both sides. Anything subtracted from zero gives its negation.

$$-11.9R=-0.1$$

Divide both sides by -11.9.

$$R=\frac{-0.1}{-11.9}$$

Expand \frac{-0.1}{-11.9} by multiplying both numerator and the denominator by 10.

$$R=\frac{-1}{-119}$$

Fraction \frac{-1}{-119} can be simplified to \frac{1}{119} by removing the negative sign from both the numerator and the denominator.

$$R=\frac{1}{119}$$