2(1+9n)-2(11n+4)=-7n+n

Solution for 2(1+9n)-2(11n+4)=-7n+n equation:

Simplifying
2(1 + 9n) + -2(11n + 4) = -7n + n
(1 * 2 + 9n * 2) + -2(11n + 4) = -7n + n
(2 + 18n) + -2(11n + 4) = -7n + n

Reorder the terms:
2 + 18n + -2(4 + 11n) = -7n + n
2 + 18n + (4 * -2 + 11n * -2) = -7n + n
2 + 18n + (-8 + -22n) = -7n + n

Reorder the terms:
2 + -8 + 18n + -22n = -7n + n

Combine like terms: 2 + -8 = -6
-6 + 18n + -22n = -7n + n

Combine like terms: 18n + -22n = -4n
-6 + -4n = -7n + n

Combine like terms: -7n + n = -6n
-6 + -4n = -6n

Solving
-6 + -4n = -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.
-6 + -4n + 6n = -6n + 6n

Combine like terms: -4n + 6n = 2n
-6 + 2n = -6n + 6n

Combine like terms: -6n + 6n = 0
-6 + 2n = 0

Add '6' to each side of the equation.
-6 + 6 + 2n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 0 + 6
2n = 0 + 6

Combine like terms: 0 + 6 = 6
2n = 6

Divide each side by '2'.
n = 3

Simplifying
n = 3