How do you solve #19- 3v = - 9v + 5v - 1#?

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Answer 1 · 2017-07-16T01:39:30

See a solution process below:

First, combine the like terms on the right side of the equation:

#19 - 3v = (-9 + 5)v - 1#

#19 - 3v = -4v - 1#

Now, subtract #color(red)(19)# and add #color(blue)(4v)# to each side of the equation to solve for #v# while keeping the equation balanced:

#19 - 3v - color(red)(19) + color(blue)(4v) = -4v - 1 - color(red)(19) + color(blue)(4v)#

#19 - color(red)(19) - 3v + color(blue)(4v) = -4v + color(blue)(4v) - 1 - color(red)(19)#

#0 + (-3 + color(blue)(4))v = 0 - 20#

#1v = -20#

#v = -20#