2(8-n)=6+8n

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

Simplifying
2(8 + -1n) = 6 + 8n
(8 * 2 + -1n * 2) = 6 + 8n
(16 + -2n) = 6 + 8n

Solving
16 + -2n = 6 + 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.
16 + -2n + -8n = 6 + 8n + -8n

Combine like terms: -2n + -8n = -10n
16 + -10n = 6 + 8n + -8n

Combine like terms: 8n + -8n = 0
16 + -10n = 6 + 0
16 + -10n = 6

Add '-16' to each side of the equation.
16 + -16 + -10n = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -10n = 6 + -16
-10n = 6 + -16

Combine like terms: 6 + -16 = -10
-10n = -10

Divide each side by '-10'.
n = 1

Simplifying
n = 1