2(1+3n)=2n

Solution for 2(1+3n)=2n equation:

Simplifying
2(1 + 3n) = 2n
(1 * 2 + 3n * 2) = 2n
(2 + 6n) = 2n

Solving
2 + 6n = 2n

Solving for variable 'n'.

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

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

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

Combine like terms: 2n + -2n = 0
2 + 4n = 0

Add '-2' to each side of the equation.
2 + -2 + 4n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 0 + -2
4n = 0 + -2

Combine like terms: 0 + -2 = -2
4n = -2

Divide each side by '4'.
n = -0.5

Simplifying
n = -0.5