To start off, let's identify the like terms in the expression. Like terms are terms that contain the same variables with the same power. In the expression -9d-4p-6-10d+8, the like terms are -9d and -10d as they both contain the same variable d. Additionally, there are two constant terms -6 and 8 which can also be simplified.
The process to simplify the expression where we combine the like terms goes as follows:
First, we take the terms with d. We have -9d and -10d in the given expression. When we add these two terms we get -19d.
Next, we look at the terms with p. There is only one term with p, which is -4p, so we can keep it as it is since there are no like terms.
Finally, we consider the constant terms, -6 and +8. Adding these two constants, we get +2.
Hence, when we put it all together, the simplified version of the expression -9d-4p-6-10d+8 would be -19d - 4p + 2.