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

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

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

Reorder the terms:
6 + 5(-1 + n) + -2(3n + -1) = 0
6 + (-1 * 5 + n * 5) + -2(3n + -1) = 0
6 + (-5 + 5n) + -2(3n + -1) = 0

Reorder the terms:
6 + -5 + 5n + -2(-1 + 3n) = 0
6 + -5 + 5n + (-1 * -2 + 3n * -2) = 0
6 + -5 + 5n + (2 + -6n) = 0

Reorder the terms:
6 + -5 + 2 + 5n + -6n = 0

Combine like terms: 6 + -5 = 1
1 + 2 + 5n + -6n = 0

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

Combine like terms: 5n + -6n = -1n
3 + -1n = 0

Solving
3 + -1n = 0

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

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

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

Divide each side by '-1'.
n = 3

Simplifying
n = 3