3(n-2)-(3-n)=3

Solution for 3(n-2)-(3-n)=3 equation:

Simplifying
3(n + -2) + -1(3 + -1n) = 3

Reorder the terms:
3(-2 + n) + -1(3 + -1n) = 3
(-2 * 3 + n * 3) + -1(3 + -1n) = 3
(-6 + 3n) + -1(3 + -1n) = 3
-6 + 3n + (3 * -1 + -1n * -1) = 3
-6 + 3n + (-3 + 1n) = 3

Reorder the terms:
-6 + -3 + 3n + 1n = 3

Combine like terms: -6 + -3 = -9
-9 + 3n + 1n = 3

Combine like terms: 3n + 1n = 4n
-9 + 4n = 3

Solving
-9 + 4n = 3

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 4n = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 4n = 3 + 9
4n = 3 + 9

Combine like terms: 3 + 9 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3