How do you solve #55+ 3.2v + 8.9= 17#?

1 Answer
May 19, 2017

See a solution process below:

Explanation:

First, group and combine like terms on the left hand side of the equation:

#55 + 3.2v + 8.9 = 17#

#3.2v + 8.9 + 55 = 17#

#3.2v + (8.9 + 55) = 17#

#3.2v + 63.9 = 17#

Next, subtract #color(red)(63.9)# from each side of the equation to isolate the #v# term while keeping the equation balanced:

#3.2v + 0 = -46.9#

#3.2v = -46.9#

Now, divide each side of the equation by #color(red)(3.2)# to solve for #v# while keeping the equation balanced:

#(3.2v)/color(red)(3.2) = -46.9/color(red)(3.2)#

#(color(red)(cancel(color(black)(3.2)))v)/cancel(color(red)(3.2)) = -14.65625#

#v = -14.65625#