The given expression is:

\[
-7 + (5 + 108q^2)
\]

Simplifying this:

\[
= -7 + 5 + 108q^2
= -2 + 108q^2
\]

So, the simplified form is:

\[
108q^2 - 2
\]

Would you like further details or have any questions about this?

Here are five related questions:

1. How would you solve the equation \( 108q^2 - 2 = 0 \)?
2. What is the derivative of \( 108q^2 - 2 \) with respect to \( q \)?
3. How would you factor \( 108q^2 - 2 \)?
4. Can you write \( 108q^2 - 2 \) in vertex form?
5. How does \( 108q^2 - 2 \) compare to a standard quadratic expression?

**Tip**: Always check if constants can be combined or simplified first before working on variables!

Learn how to simplify the expression -7 + 5 + 108q^2 with a step-by-step breakdown. This problem covers basic algebraic concepts such as combining like terms and simplifying polynomials. Suitable for students in Grades 8-10.

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