Answer:
[tex]\boxed{\bold{v \ = \ \frac{36}{7}}}[/tex]
Step-by-step explanation:
Subtract v from both sides
[tex]\bold{v-4-v=v+2+7v-42-v}[/tex]
Simplify
[tex]\bold{-4=2+7v-42}[/tex]
Switch sides
[tex]\bold{2+7v-42=-4}[/tex]
Group like terms
[tex]\bold{7v+2-42=-4}[/tex]
Subtract the numbers: 2 - 42 = -40
[tex]\bold{7v-40=-4}[/tex]
Add 40 to both sides
[tex]\bold{7v-40+40=-4+40}[/tex]
Simplify
[tex]\bold{7v=36}[/tex]
Divide both sides by 7
[tex]\bold{\frac{7v}{7}=\frac{36}{7}}[/tex]
Simplify
➤ [tex]\bold{v=\frac{36}{7}}[/tex]
