2n+2(n-3)=-12(11-n)+6n

Solution for 2n+2(n-3)=-12(11-n)+6n equation:

Simplifying
2n + 2(n + -3) = -12(11 + -1n) + 6n

Reorder the terms:
2n + 2(-3 + n) = -12(11 + -1n) + 6n
2n + (-3 * 2 + n * 2) = -12(11 + -1n) + 6n
2n + (-6 + 2n) = -12(11 + -1n) + 6n

Reorder the terms:
-6 + 2n + 2n = -12(11 + -1n) + 6n

Combine like terms: 2n + 2n = 4n
-6 + 4n = -12(11 + -1n) + 6n
-6 + 4n = (11 * -12 + -1n * -12) + 6n
-6 + 4n = (-132 + 12n) + 6n

Combine like terms: 12n + 6n = 18n
-6 + 4n = -132 + 18n

Solving
-6 + 4n = -132 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-6 + 4n + -18n = -132 + 18n + -18n

Combine like terms: 4n + -18n = -14n
-6 + -14n = -132 + 18n + -18n

Combine like terms: 18n + -18n = 0
-6 + -14n = -132 + 0
-6 + -14n = -132

Add '6' to each side of the equation.
-6 + 6 + -14n = -132 + 6

Combine like terms: -6 + 6 = 0
0 + -14n = -132 + 6
-14n = -132 + 6

Combine like terms: -132 + 6 = -126
-14n = -126

Divide each side by '-14'.
n = 9

Simplifying
n = 9