Question

What is the value of n in the equation (n – 4) – 3 = 3 – (2n + 3)?

Answer 1

N - 4 - 3 = 3 - 2n - 3
n - 4 = 3 - 2n
n = 3 - 2n + 4
n = -2n + 7
n + 2n = 7
3n = 7
n = 7/3

The answer is in bold

Answer 2

(n - 4) - 3 = 3 - (2n + 3)

Let's first start by removing the parenthesis.
(n-4) = +(n-4) so we just remove the parenthesis without changing the signs. So the first part of the equation will be n - 4 - 3.

Before (2n+3), we can notice a minus sign (-) which means that to remove the parenthesis, we need to change the signs of the numbers and variables inside.
-(2n+3) = -2n-3
So the second part of the equation becomes 3 -2n - 3

(n-4) - 3 = 3 - (2n+3)
n - 4 - 3 = 3 - 2n - 3
n - 7 = -2n

Now we need to put the variables apart and the constants apart. So we subtract n from each side:
n - n - 7 = -2n - n
-7 = -3n

Divide both sides by -3
(-7)/(-3) = (-3n)/-3
7/3 = n

In the equation (n-4) - 3 = 3-(2n+3), the value of n is n=7/3

Hope this helps! :)