Let's simplify and combine like terms in the given expression:
[tex]$ -\frac{4}{7} w^3 + \left(-\frac{2}{7} p\right) + \frac{1}{7} $[/tex]
First, let's rewrite the expression for clarity:
[tex]$ -\frac{4}{7} w^3 - \frac{2}{7} p + \frac{1}{7} $[/tex]
The expression contains three terms:
1. [tex]\(-\frac{4}{7} w^3\)[/tex] is a term with the variable [tex]\(w^3\)[/tex].
2. [tex]\(-\frac{2}{7} p\)[/tex] is a term with the variable [tex]\(p\)[/tex].
3. [tex]\(\frac{1}{7}\)[/tex] is a constant term.
Since no terms have the same variable or powers, we cannot combine any terms further. Therefore, the simplified expression is:
[tex]$ -\frac{4}{7} w^3 - \frac{2}{7} p + \frac{1}{7} $[/tex]