How do you solve #-10( v + 4) = 10#?

2 Answers
May 10, 2017

See a solution process below:

Explanation:

First, divide each side of the equation by #color(red)(-10)# to simplify the equation while keeping the equation balanced:

#(-10(v + 4))/color(red)(-10) = 10/color(red)(-10)#

#(color(red)(cancel(color(black)(-10)))(v + 4))/cancel(color(red)(-10)) = -1#

#v + 4 = -1#

Now, subtract #color(red)(4)# from each side of the equation to solve for #v# while keeping the equation balanced:

#v + 4 - color(red)(4) = -1 - color(red)(4)#

#v + 0 = -5#

#v = -5#

Divide both sides by #-10# then subtract #4# from both sides. Answer: #v=-5#

Explanation:

We can divide both sides by #-10#:

#(-10)/-10(v+4)=10/-10#

#v+4=-1#

Now, we can subtract #4# from both sides to find #v#:
#v+4-4=-1-4#

#v=-5# which is our final answer.