Certainly! Let's simplify this step-by-step.
First, let's take a look at the original polynomial:
-6v³ + 2v³ + 8v² - 7
To simplify these expression, we combine the like terms. Like terms are terms that contain the same variable(s) raised to the same power. In our polynomial, the like terms are -6v³ and +2v³.
So we perform their addition.
-6v³ + 2v³ gives us -4v³.
So, the above expression can now be rewritten like this:
-4v³ + 8v² - 7
We have now simplified our polynomial to its smallest form. Therefore, -4v³ + 8v² - 7 is the simplest form of the specified polynomial.