To determine the value of [tex]\( q \)[/tex] in the equation [tex]\( 5q - 10 = 75 \)[/tex], follow these steps:
1. Add 10 to both sides of the equation to isolate the term involving [tex]\( q \)[/tex]:
[tex]\[
5q - 10 + 10 = 75 + 10
\][/tex]
Simplifying this, we obtain:
[tex]\[
5q = 85
\][/tex]
2. Divide both sides by 5 to solve for [tex]\( q \)[/tex]:
[tex]\[
q = \frac{85}{5}
\][/tex]
3. Simplify the division:
[tex]\[
q = 17
\][/tex]
Thus, the value of [tex]\( q \)[/tex] is [tex]\( 17 \)[/tex], so the correct answer is:
- 17
