2(n+3)+8n=106

Solution for 2(n+3)+8n=106 equation:

Simplifying
2(n + 3) + 8n = 106

Reorder the terms:
2(3 + n) + 8n = 106
(3 * 2 + n * 2) + 8n = 106
(6 + 2n) + 8n = 106

Combine like terms: 2n + 8n = 10n
6 + 10n = 106

Solving
6 + 10n = 106

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 10n = 106 + -6

Combine like terms: 6 + -6 = 0
0 + 10n = 106 + -6
10n = 106 + -6

Combine like terms: 106 + -6 = 100
10n = 100

Divide each side by '10'.
n = 10

Simplifying
n = 10