Certainly! Let’s simplify the given expression step by step.
The initial expression is:
[tex]\[ 6 + (-5) + (-8q) + (-9) \][/tex]
1. Combine like terms (constants):
We need to combine the constant terms (numbers without the variable [tex]\( q \)[/tex]). These constants are:
[tex]\[ 6, -5, \text{ and } -9 \][/tex]
Add these constants together:
[tex]\[ 6 + (-5) + (-9) \][/tex]
Simplifying this:
[tex]\[
6 - 5 = 1
\][/tex]
[tex]\[
1 - 9 = -8
\][/tex]
Therefore, the constant term when simplified is:
[tex]\[ -8 \][/tex]
2. Handle the term with the variable [tex]\( q \)[/tex]:
The term involving the variable [tex]\( q \)[/tex] is:
[tex]\[ -8q \][/tex]
This term remains as it is because there are no other terms involving [tex]\( q \)[/tex] to combine with.
3. Combine the simplified constant and the term with [tex]\( q \)[/tex]:
After simplifying the constants and keeping the term involving [tex]\( q \)[/tex] as it is, we can write:
[tex]\[ -8 - 8q \][/tex]
Therefore, the simplified expression is:
[tex]\[ -8 - 8q \][/tex]
