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

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

Simplifying
6(2 + -2n) = 2n + 4(3 + 9n)
(2 * 6 + -2n * 6) = 2n + 4(3 + 9n)
(12 + -12n) = 2n + 4(3 + 9n)
12 + -12n = 2n + (3 * 4 + 9n * 4)
12 + -12n = 2n + (12 + 36n)

Reorder the terms:
12 + -12n = 12 + 2n + 36n

Combine like terms: 2n + 36n = 38n
12 + -12n = 12 + 38n

Add '-12' to each side of the equation.
12 + -12 + -12n = 12 + -12 + 38n

Combine like terms: 12 + -12 = 0
0 + -12n = 12 + -12 + 38n
-12n = 12 + -12 + 38n

Combine like terms: 12 + -12 = 0
-12n = 0 + 38n
-12n = 38n

Solving
-12n = 38n

Solving for variable 'n'.

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

Add '-38n' to each side of the equation.
-12n + -38n = 38n + -38n

Combine like terms: -12n + -38n = -50n
-50n = 38n + -38n

Combine like terms: 38n + -38n = 0
-50n = 0

Divide each side by '-50'.
n = 0.0

Simplifying
n = 0.0