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

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

Simplifying
6(1 + 2n) + -2(n + -6) = 9n + 6 + 2n + -5
(1 * 6 + 2n * 6) + -2(n + -6) = 9n + 6 + 2n + -5
(6 + 12n) + -2(n + -6) = 9n + 6 + 2n + -5

Reorder the terms:
6 + 12n + -2(-6 + n) = 9n + 6 + 2n + -5
6 + 12n + (-6 * -2 + n * -2) = 9n + 6 + 2n + -5
6 + 12n + (12 + -2n) = 9n + 6 + 2n + -5

Reorder the terms:
6 + 12 + 12n + -2n = 9n + 6 + 2n + -5

Combine like terms: 6 + 12 = 18
18 + 12n + -2n = 9n + 6 + 2n + -5

Combine like terms: 12n + -2n = 10n
18 + 10n = 9n + 6 + 2n + -5

Reorder the terms:
18 + 10n = 6 + -5 + 9n + 2n

Combine like terms: 6 + -5 = 1
18 + 10n = 1 + 9n + 2n

Combine like terms: 9n + 2n = 11n
18 + 10n = 1 + 11n

Solving
18 + 10n = 1 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
18 + 10n + -11n = 1 + 11n + -11n

Combine like terms: 10n + -11n = -1n
18 + -1n = 1 + 11n + -11n

Combine like terms: 11n + -11n = 0
18 + -1n = 1 + 0
18 + -1n = 1

Add '-18' to each side of the equation.
18 + -18 + -1n = 1 + -18

Combine like terms: 18 + -18 = 0
0 + -1n = 1 + -18
-1n = 1 + -18

Combine like terms: 1 + -18 = -17
-1n = -17

Divide each side by '-1'.
n = 17

Simplifying
n = 17