6n+3(2+n)=2+8n

Solution for 6n+3(2+n)=2+8n equation:

Simplifying
6n + 3(2 + n) = 2 + 8n
6n + (2 * 3 + n * 3) = 2 + 8n
6n + (6 + 3n) = 2 + 8n

Reorder the terms:
6 + 6n + 3n = 2 + 8n

Combine like terms: 6n + 3n = 9n
6 + 9n = 2 + 8n

Solving
6 + 9n = 2 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 9n + -8n = 2 + 8n + -8n

Combine like terms: 9n + -8n = 1n
6 + 1n = 2 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + 1n = 2 + 0
6 + 1n = 2

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

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

Combine like terms: 2 + -6 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4