How do you solve #11n - 3= 9n + 3#?

Question

1344 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-11T21:12:22

See the entire solution process below:

First, add #color(red)(3)# and subtract #color(blue)(9n)# from each side of the equation to isolate the #n# term while keeping the equation balanced:

#11n - 3 + color(red)(3) - color(blue)(9n) = 9n + 3 + color(red)(3) - color(blue)(9n)#

#11n - color(blue)(9n) - 3 + color(red)(3) = 9n - color(blue)(9n) + 3 + color(red)(3)#

#(11 - color(blue)(9))n - 0 = 0 + 6#

#2n = 6#

Now, divide each side of the equation by #color(red)(2)# to solve for #n# while keeping the equation balanced:

#(2n)/color(red)(2) = 6/color(red)(2)#

#(color(red)(cancel(color(black)(2)))n)/cancel(color(red)(2)) = 3#

#n = 3#