3(n-6)+n=4-2(n-1)

Solution for 3(n-6)+n=4-2(n-1) equation:

Simplifying
3(n + -6) + n = 4 + -2(n + -1)

Reorder the terms:
3(-6 + n) + n = 4 + -2(n + -1)
(-6 * 3 + n * 3) + n = 4 + -2(n + -1)
(-18 + 3n) + n = 4 + -2(n + -1)

Combine like terms: 3n + n = 4n
-18 + 4n = 4 + -2(n + -1)

Reorder the terms:
-18 + 4n = 4 + -2(-1 + n)
-18 + 4n = 4 + (-1 * -2 + n * -2)
-18 + 4n = 4 + (2 + -2n)

Combine like terms: 4 + 2 = 6
-18 + 4n = 6 + -2n

Solving
-18 + 4n = 6 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-18 + 4n + 2n = 6 + -2n + 2n

Combine like terms: 4n + 2n = 6n
-18 + 6n = 6 + -2n + 2n

Combine like terms: -2n + 2n = 0
-18 + 6n = 6 + 0
-18 + 6n = 6

Add '18' to each side of the equation.
-18 + 18 + 6n = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 6n = 6 + 18
6n = 6 + 18

Combine like terms: 6 + 18 = 24
6n = 24

Divide each side by '6'.
n = 4

Simplifying
n = 4