Answer:
[tex]b = \frac{a -6}{v}[/tex]
Step-by-step explanation:
Given
[tex]a = vb + 6[/tex]
Required
Make b the subject
[tex]a = vb + 6[/tex]
Subtract 6 from both sides
[tex]a -6= vb + 6-6[/tex]
[tex]a -6= vb[/tex]
Divide both sides by v
[tex]\frac{a -6}{v}= \frac{vb}{v}[/tex]
[tex]\frac{a -6}{v}= b[/tex]
Reorder
[tex]b = \frac{a -6}{v}[/tex]
