6(n-1)=2+8n

Solution for 6(n-1)=2+8n equation:

Simplifying
6(n + -1) = 2 + 8n

Reorder the terms:
6(-1 + n) = 2 + 8n
(-1 * 6 + n * 6) = 2 + 8n
(-6 + 6n) = 2 + 8n

Solving
-6 + 6n = 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 + 6n + -8n = 2 + 8n + -8n

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

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

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

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

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

Divide each side by '-2'.
n = -4

Simplifying
n = -4