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Rearrange the equation [tex]t - 7 = v - 5q[/tex] to solve for [tex]q[/tex].

A. [tex]q = t - 12 - v[/tex]
B. [tex]q = t - 2 + v[/tex]
C. [tex]q = \frac{t - 7 - v}{-5}[/tex]
D. [tex]q = \frac{t - 7}{-5} - v[/tex]


Sagot :

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]