2+8n=2n-6+7n

Solution for 2+8n=2n-6+7n equation:

Simplifying
2 + 8n = 2n + -6 + 7n

Reorder the terms:
2 + 8n = -6 + 2n + 7n

Combine like terms: 2n + 7n = 9n
2 + 8n = -6 + 9n

Solving
2 + 8n = -6 + 9n

Solving for variable 'n'.

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

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

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

Combine like terms: 9n + -9n = 0
2 + -1n = -6 + 0
2 + -1n = -6

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

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

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

Divide each side by '-1'.
n = 8

Simplifying
n = 8