Solve m=2pi(r+b)

$$m = 2 \pi ( r + b )$$

Solve for b

$$b=\frac{m}{2\pi }-r$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2\pi by r+b.

$$m=2\pi r+2\pi b$$

Swap sides so that all variable terms are on the left hand side.

$$2\pi r+2\pi b=m$$

Subtract 2\pi r from both sides.

$$2\pi b=m-2\pi r$$

Divide both sides by 2\pi .

$$\frac{2\pi b}{2\pi }=\frac{m-2\pi r}{2\pi }$$

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

$$b=\frac{m-2\pi r}{2\pi }$$

Divide m-2\pi r by 2\pi .

$$b=\frac{m}{2\pi }-r$$

Solve for m

$$m=2\pi \left(r+b\right)$$