Solve 2m-6=4n+4

$$2 m - 6 = 4 n + 4$$

Solve for m

$$m=2n+5$$

Steps for Solving Linear Equation

Add 6 to both sides.

$$2m=4n+4+6$$

Add 4 and 6 to get 10.

$$2m=4n+10$$

Divide both sides by 2.

$$\frac{2m}{2}=\frac{4n+10}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$m=\frac{4n+10}{2}$$

Divide 4n+10 by 2.

$$m=2n+5$$

Solve for n

$$n=\frac{m-5}{2}$$

Steps for Solving Linear Equation

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

$$4n+4=2m-6$$

Subtract 4 from both sides.

$$4n=2m-6-4$$

Subtract 4 from -6 to get -10.

$$4n=2m-10$$

Divide both sides by 4.

$$\frac{4n}{4}=\frac{2m-10}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$n=\frac{2m-10}{4}$$

Divide -10+2m by 4.

$$n=\frac{m-5}{2}$$