7w - 6 = 3(w + 4) + 4w

Remove the parentheses by using the distributive property:

7w - 6 = 3w + 12 + 4w

7w - 6 = 7w + 12

Subtract 7w from both sides:

-6 = 12

This is an impossible situation; the original problem is not an equation.

There is no answer.