Solve 2pi(R-b)=2piR+1

$$2 \pi ( R - b ) = 2 \pi R + 1$$

Solve for b

$$b = -\frac{1}{2 \pi} = -0.15915494309189535$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2\pi by R-b.

$$2\pi R-2\pi b=2\pi R+1$$

Subtract 2\pi R from both sides.

$$-2\pi b=2\pi R+1-2\pi R$$

Combine 2\pi R and -2\pi R to get 0.

$$-2\pi b=1$$

The equation is in standard form.

$$\left(-2\pi \right)b=1$$

Divide both sides by -2\pi .

$$\frac{\left(-2\pi \right)b}{-2\pi }=\frac{1}{-2\pi }$$

Dividing by -2\pi undoes the multiplication by -2\pi .

$$b=\frac{1}{-2\pi }$$

Divide 1 by -2\pi .

$$b=-\frac{1}{2\pi }$$

Solve for R

$$R\in \mathrm{R}$$

$$b = -\frac{1}{2 \pi} = -0.15915494309189535$$