Answer:
-8.8
Step-by-step explanation:
We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.
[tex]4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v[/tex]
We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.
[tex]4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v[/tex]
Now, move 4.3v across by subtracting it from both sides.
[tex]4.3v-4.3v+2.64=4v-4.3v[/tex]
[tex]2.64=-0.3v[/tex]
Finally, we divide both sides by the coefficient of v.
[tex]\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v[/tex]