To solve this equation, we will separate v on the left side and move 10.7 to the right side. To do that let us subtract 10.7 from both sides
[tex]\because-6v+10.7-10.7=1.1-10.7[/tex]Now we will add the like terms
[tex]\begin{gathered} \therefore-6v+(10.7-10.7)=(1.1-10.7) \\ \therefore-6v+0=-9.6 \\ \therefore-6v=-9.6 \end{gathered}[/tex]We want to make the coefficient of v be 1, then divide both sides by -6
[tex]\begin{gathered} \because\frac{-6v}{-6}=\frac{-9.6}{-6} \\ \therefore v=1.6 \end{gathered}[/tex]The value of v is 1.6