2(n-6)-(4-5n)=6n

Solution for 2(n-6)-(4-5n)=6n equation:

Simplifying
2(n + -6) + -1(4 + -5n) = 6n

Reorder the terms:
2(-6 + n) + -1(4 + -5n) = 6n
(-6 * 2 + n * 2) + -1(4 + -5n) = 6n
(-12 + 2n) + -1(4 + -5n) = 6n
-12 + 2n + (4 * -1 + -5n * -1) = 6n
-12 + 2n + (-4 + 5n) = 6n

Reorder the terms:
-12 + -4 + 2n + 5n = 6n

Combine like terms: -12 + -4 = -16
-16 + 2n + 5n = 6n

Combine like terms: 2n + 5n = 7n
-16 + 7n = 6n

Solving
-16 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-16 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-16 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-16 + 1n = 0

Add '16' to each side of the equation.
-16 + 16 + 1n = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 1n = 0 + 16
1n = 0 + 16

Combine like terms: 0 + 16 = 16
1n = 16

Divide each side by '1'.
n = 16

Simplifying
n = 16