Hello!
let's make the following solution:
we eliminate the parentheses and change the signs
we eliminate the opposite numbers
![- 14w - \diagup\!\!\!\!8 + \diagup\!\!\!\!8 = 3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/g6a9ujzj3k5wepvz8yqhqhc91f4jf0qwv3.png)
so:
![- 14w = 3\;\:(simplify\:by\:-1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ubrscb280jhx8w3bl5djb0z5m4nd7udwoc.png)
![14w = -3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/31m16muq5yztccevlniehgwjfp5muc6f3z.png)
![\boxed{\boxed{w = -(3)/(14)}}\end{array}}\qquad\checkmark](https://img.qammunity.org/2019/formulas/mathematics/middle-school/koqluro5u26u850lpwq6c7kbxf6ufsp1ic.png)
ps: the answer is correct, the question was poorly worked out with the wrong feedback.
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I Hope this helps, greetings ... DexteR! =)