Question

solve for v.
-9(-v - 10) = -10 - v
v =

Explanation:

Step1: Distribute -9

First, we distribute -9 on the left side of the equation \(-9(-v - 10)\). Using the distributive property \(a(b + c)=ab+ac\), we have:
\(-9\times(-v)+(-9)\times(-10)=9v + 90\)
So the equation becomes \(9v + 90=-10 - v\)

Step2: Add v to both sides

To get all the \(v\) terms on one side, we add \(v\) to both sides of the equation:
\(9v + v+ 90=-10 - v + v\)
Simplifying both sides, we get \(10v + 90=-10\)

Step3: Subtract 90 from both sides

Next, we subtract 90 from both sides to isolate the term with \(v\):
\(10v + 90-90=-10 - 90\)
Simplifying, we have \(10v=-100\)

Step4: Divide by 10

Finally, we divide both sides by 10 to solve for \(v\):
\(\frac{10v}{10}=\frac{-100}{10}\)
Which gives \(v = - 10\)

Answer:

\(-10\)