6+8(2n+6)=166

Solution for 6+8(2n+6)=166 equation:

Simplifying
6 + 8(2n + 6) = 166

Reorder the terms:
6 + 8(6 + 2n) = 166
6 + (6 * 8 + 2n * 8) = 166
6 + (48 + 16n) = 166

Combine like terms: 6 + 48 = 54
54 + 16n = 166

Solving
54 + 16n = 166

Solving for variable 'n'.

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

Add '-54' to each side of the equation.
54 + -54 + 16n = 166 + -54

Combine like terms: 54 + -54 = 0
0 + 16n = 166 + -54
16n = 166 + -54

Combine like terms: 166 + -54 = 112
16n = 112

Divide each side by '16'.
n = 7

Simplifying
n = 7