To answer this question, we can proceed following the next steps:
1. Apply the distributive property:
[tex]-6(w-4)+8w=2(w+9)\Rightarrow-6w+24+8w=2w+18[/tex]2. We can sum(subtract) like terms in the equations:
[tex]-6w+8w+24=2w+18[/tex][tex]2w+24=2w+18[/tex]3. If we subtract 2w to both sides of the equation, we have:
[tex]2w-2w+24=2w-2w+18\Rightarrow24\ne18_{}[/tex]We can conclude that having this result, 24 is different from 18, we have a false result (24 = 18). Therefore, we do not have solutions to these equations.