Solve 3m+b=-4n-b

$$3 m + b = - 4 n - b$$

Solve for b

$$b=-\frac{3m}{2}-2n$$

Steps for Solving Linear Equation

Add b to both sides.

$$3m+b+b=-4n$$

Combine b and b to get 2b.

$$3m+2b=-4n$$

Subtract 3m from both sides.

$$2b=-4n-3m$$

The equation is in standard form.

$$2b=-3m-4n$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{-3m-4n}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{-3m-4n}{2}$$

Divide -4n-3m by 2.

$$b=-\frac{3m}{2}-2n$$

Solve for m

$$m=\frac{-4n-2b}{3}$$

Steps for Solving Linear Equation

Subtract b from both sides.

$$3m=-4n-b-b$$

Combine -b and -b to get -2b.

$$3m=-4n-2b$$

Divide both sides by 3.

$$\frac{3m}{3}=\frac{-4n-2b}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$m=\frac{-4n-2b}{3}$$