6+(5-1)-2(3n-1)=0

Solution for 6+(5-1)-2(3n-1)=0 equation:

Simplifying
6 + (5 + -1) + -2(3n + -1) = 0

Combine like terms: 5 + -1 = 4
6 + (4) + -2(3n + -1) = 0
6 + 4 + -2(3n + -1) = 0

Reorder the terms:
6 + 4 + -2(-1 + 3n) = 0
6 + 4 + (-1 * -2 + 3n * -2) = 0
6 + 4 + (2 + -6n) = 0

Combine like terms: 6 + 4 = 10
10 + 2 + -6n = 0

Combine like terms: 10 + 2 = 12
12 + -6n = 0

Solving
12 + -6n = 0

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + -6n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6n = 0 + -12
-6n = 0 + -12

Combine like terms: 0 + -12 = -12
-6n = -12

Divide each side by '-6'.
n = 2

Simplifying
n = 2