9n+5-6=2(1+3n)-6(n-4)

Solution for 9n+5-6=2(1+3n)-6(n-4) equation:

Simplifying
9n + 5 + -6 = 2(1 + 3n) + -6(n + -4)

Reorder the terms:
5 + -6 + 9n = 2(1 + 3n) + -6(n + -4)

Combine like terms: 5 + -6 = -1
-1 + 9n = 2(1 + 3n) + -6(n + -4)
-1 + 9n = (1 * 2 + 3n * 2) + -6(n + -4)
-1 + 9n = (2 + 6n) + -6(n + -4)

Reorder the terms:
-1 + 9n = 2 + 6n + -6(-4 + n)
-1 + 9n = 2 + 6n + (-4 * -6 + n * -6)
-1 + 9n = 2 + 6n + (24 + -6n)

Reorder the terms:
-1 + 9n = 2 + 24 + 6n + -6n

Combine like terms: 2 + 24 = 26
-1 + 9n = 26 + 6n + -6n

Combine like terms: 6n + -6n = 0
-1 + 9n = 26 + 0
-1 + 9n = 26

Solving
-1 + 9n = 26

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 9n = 26 + 1

Combine like terms: -1 + 1 = 0
0 + 9n = 26 + 1
9n = 26 + 1

Combine like terms: 26 + 1 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3