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

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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:

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

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

$n = 3$

How do you solve 11n - 3= 9n + 311n - 3= 9n + 3?