Let's solve the equation [tex]\( t - 7 = v - 5q \)[/tex] for [tex]\( q \)[/tex].
Step-by-step:
1. Start with the given equation:
[tex]\[
t - 7 = v - 5 q
\][/tex]
2. Isolate the term involving [tex]\( q \)[/tex] on one side:
[tex]\[
t - 7 - v = -5 q
\][/tex]
3. Rearrange the equation so that [tex]\( q \)[/tex] stands alone:
[tex]\[
-5 q = t - 7 - v
\][/tex]
4. Divide each term by [tex]\(-5\)[/tex]:
[tex]\[
q = \frac{t - 7 - v}{-5}
\][/tex]
Thus, the correct solution is:
[tex]\[
q = \frac{t - 7 - v}{-5}
\][/tex]
