Question

What is 4.3(v+2.5)=8.11+4v

Answer 1

-8.8

Explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

`4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v`

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.

`4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v`

Now, move 4.3v across by subtracting it from both sides.

`4.3v-4.3v+2.64=4v-4.3v`

`2.64=-0.3v`

Finally, we divide both sides by the coefficient of v.

`(2.64)/(-0.3) =(-0.3v)/(-0.3) \\-8.8=v`