2+2(6+5n)=74

Solution for 2+2(6+5n)=74 equation:

Simplifying
2 + 2(6 + 5n) = 74
2 + (6 * 2 + 5n * 2) = 74
2 + (12 + 10n) = 74

Combine like terms: 2 + 12 = 14
14 + 10n = 74

Solving
14 + 10n = 74

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 10n = 74 + -14

Combine like terms: 14 + -14 = 0
0 + 10n = 74 + -14
10n = 74 + -14

Combine like terms: 74 + -14 = 60
10n = 60

Divide each side by '10'.
n = 6

Simplifying
n = 6