To simplify the expression:

$8 - 7d + (-8d) - 8d^2 + 2d^2 - 10d$

Step-by-step solution:

1. Combine like terms for $d^2$ terms:

   • $-8d^2 + 2d^2 = -6d^2$

2. Combine like terms for $d$ terms:

   • $-7d - 8d - 10d = -25d$

3. The constant term is simply $8$.

Simplified expression:

$8 - 25d - 6d^2$

So, the simplified expression is:

$-6d^2 - 25d + 8$

Would you like further clarification or more details on any step?

Here are 5 related questions for further practice:

1. How do you combine like terms in algebraic expressions?
2. What is the distributive property, and how is it used in simplifying expressions?
3. How do you factor quadratic expressions like $-6d^2 - 25d + 8$?
4. How do you identify and classify terms in algebraic expressions (constants, linear, quadratic)?
5. Can you solve equations once you've simplified expressions like this one?

Tip: Always arrange terms in descending powers of the variable for clarity, i.e., from $d^2$ to $d$ to constants.