Question

solve for v9= 5v+27+4v

Answer 1

Let's satrt by copying the equation:

$9=5v+27+4v$

Firslty, let's leave the equation with all the terms with v on one side and all the term without v on the other.

The right side has all the terms with v, but there is one without v that we need to pass to the other side., we can do that by substracting both sides by 27:

$\begin{gathered} 9-27=5v+27+4v-27 \\ 9-27=5v+4v+27-27 \\ 9-27=5v+4v \end{gathered}$

Now, we evaluate the like-terms on each side:

$-18=9v$

Now, we can invert the sign so that the variable v go to the left side, as usual:

$9v=-18$

To finish the solve. we can divide both sides by 9:

$\begin{gathered} \frac{9v}{9}=\frac{-18}{9} \\ v=-2 \end{gathered}$