$$2n-2+4n=2\left(3n-1\right)$$
Combine $2n$ and $4n$ to get $6n$.$$6n-2=2\left(3n-1\right)$$
Use the distributive property to multiply $2$ by $3n-1$.$$6n-2=6n-2$$
Subtract $6n$ from both sides.$$6n-2-6n=-2$$
Combine $6n$ and $-6n$ to get $0$.$$-2=-2$$
Compare $-2$ and $-2$.$$\text{true}$$
This is true for any $n$.$$n\in \mathrm{R}$$