$\begin{array} { l }\frac{ w-2 }{ w }=\frac{ 3 }{ 6 },& w≠0\end{array}$
Cancel out the common factor $3$$\frac{ w-2 }{ w }=\frac{ 1 }{ 2 }$
Simplify the equation using cross-multiplication$2\left( w-2 \right)=w$
Distribute $2$ through the parentheses$2w-4=w$
Move the constant to the right-hand side and change its sign$2w=w+4$
Move the variable to the left-hand side and change its sign$2w-w=4$
Collect like terms$\begin{array} { l }w=4,& w≠0\end{array}$
Check if the solution is in the defined range$w=4$