3(n-2)=30+n-2-n+2

Solution for 3(n-2)=30+n-2-n+2 equation:

Simplifying
3(n + -2) = 30 + n + -2 + -1n + 2

Reorder the terms:
3(-2 + n) = 30 + n + -2 + -1n + 2
(-2 * 3 + n * 3) = 30 + n + -2 + -1n + 2
(-6 + 3n) = 30 + n + -2 + -1n + 2

Reorder the terms:
-6 + 3n = 30 + -2 + 2 + n + -1n

Combine like terms: 30 + -2 = 28
-6 + 3n = 28 + 2 + n + -1n

Combine like terms: 28 + 2 = 30
-6 + 3n = 30 + n + -1n

Combine like terms: n + -1n = 0
-6 + 3n = 30 + 0
-6 + 3n = 30

Solving
-6 + 3n = 30

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 3n = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 30 + 6
3n = 30 + 6

Combine like terms: 30 + 6 = 36
3n = 36

Divide each side by '3'.
n = 12

Simplifying
n = 12