2(3n+1)=n-6

Solution for 2(3n+1)=n-6 equation:

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

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

Reorder the terms:
2 + 6n = -6 + n

Solving
2 + 6n = -6 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
2 + 6n + -1n = -6 + n + -1n

Combine like terms: 6n + -1n = 5n
2 + 5n = -6 + n + -1n

Combine like terms: n + -1n = 0
2 + 5n = -6 + 0
2 + 5n = -6

Add '-2' to each side of the equation.
2 + -2 + 5n = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 5n = -6 + -2
5n = -6 + -2

Combine like terms: -6 + -2 = -8
5n = -8

Divide each side by '5'.
n = -1.6

Simplifying
n = -1.6