Question

solve for v,
-6v - 20 = 17v - 19 - 20v
v =

Explanation:

Step1: Combine like - terms

First, combine the terms with \(v\) on the right - hand side of the equation. The given equation \(-6v - 20=17v - 19 - 20v\) can be rewritten as \(-6v - 20=(17v-20v)-19\).
So, \(-6v - 20=-3v - 19\).

Step2: Move terms with \(v\) to one side

Add \(6v\) to both sides of the equation:
\(-6v + 6v-20=-3v+6v - 19\).
This simplifies to \(-20 = 3v-19\).

Step3: Isolate the term with \(v\)

Add 19 to both sides of the equation:
\(-20 + 19=3v-19 + 19\).
We get \(-1 = 3v\).

Step4: Solve for \(v\)

Divide both sides by 3:
\(v=\frac{-1}{3}\).

Answer:

\(v =-\frac{1}{3}\)