Answer:
w = [tex]-\frac{9}{8}[/tex]
Step-by-step explanation:
The question is [tex]4w-4+2(5w+8)=-2(w+3)[/tex]
We can first use distributive property to simplify, the distributive property is [tex]a(b+c)=ab+ac[/tex]
Thus we have:
[tex]4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6[/tex]
Now we combine like terms and simplify to get the final answer for w.
[tex]4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}[/tex]
Thus, w = [tex]-\frac{9}{8}[/tex]
