Answer:
[tex]v=-1[/tex]
Step-by-step explanation:
[tex]6\left(6v+6\right)-5=1+6v[/tex]
Use the distributive property to multiply 6 by 6v+6:
[tex]36v+36-5=1+6v[/tex]
Subtract 5 from 36 = 31
[tex]36v+31=1+6v[/tex]
Subtract 6v from both sides:
[tex]36v+31-6v=1[/tex]
Combine like terms:
[tex]36v[/tex] and [tex]-6v[/tex] [tex]=30v[/tex]
[tex]30v+31=1[/tex]
Subtract 31 from both sides:
[tex]30v=-30[/tex]
Divide both sides by 30:
[tex]\cfrac{30v}{30}=\cfrac{-30}{30}[/tex]
[tex]v=-1[/tex]
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