12(n+6)-11(n+6)=7n

Solution for 12(n+6)-11(n+6)=7n equation:

Simplifying
12(n + 6) + -11(n + 6) = 7n

Reorder the terms:
12(6 + n) + -11(n + 6) = 7n
(6 * 12 + n * 12) + -11(n + 6) = 7n
(72 + 12n) + -11(n + 6) = 7n

Reorder the terms:
72 + 12n + -11(6 + n) = 7n
72 + 12n + (6 * -11 + n * -11) = 7n
72 + 12n + (-66 + -11n) = 7n

Reorder the terms:
72 + -66 + 12n + -11n = 7n

Combine like terms: 72 + -66 = 6
6 + 12n + -11n = 7n

Combine like terms: 12n + -11n = 1n
6 + 1n = 7n

Solving
6 + 1n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + 1n + -7n = 7n + -7n

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

Combine like terms: 7n + -7n = 0
6 + -6n = 0

Add '-6' to each side of the equation.
6 + -6 + -6n = 0 + -6

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

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

Divide each side by '-6'.
n = 1

Simplifying
n = 1