Hey there!
The correct answer is [tex]w = \frac{-1}{2}[/tex]
[tex]7w + 6 + 2w = w + 2[/tex] ~ Write the equation
[tex]9w + 6 = w + 2[/tex] ~ Simplify
[tex]8w + 6 = 2[/tex] ~ Subtract [tex]w[/tex] from both sides
[tex]8w = -4[/tex] ~ Subtract [tex]6[/tex] from both sides
[tex]w = \frac{-1}{2}[/tex] ~ Divide both sides by 8
Hope it helps and have a great day!