To solve for w. The first step is to solve the common factor and then, solve similar terms to clear w.
[tex]\begin{gathered} 7(w+2)=-6(2w-1)+3w \\ 7w+14=-12w+6+3w \\ 7w+14=-9w+6 \\ 7w+9w=6-14 \\ 16w=-8 \\ w=-\frac{8}{16} \\ w=-\frac{1}{2} \end{gathered}[/tex]w is -1/2