2+4(3n+1)=78

Solution for 2+4(3n+1)=78 equation:

Simplifying
2 + 4(3n + 1) = 78

Reorder the terms:
2 + 4(1 + 3n) = 78
2 + (1 * 4 + 3n * 4) = 78
2 + (4 + 12n) = 78

Combine like terms: 2 + 4 = 6
6 + 12n = 78

Solving
6 + 12n = 78

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 + 12n = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 12n = 78 + -6
12n = 78 + -6

Combine like terms: 78 + -6 = 72
12n = 72

Divide each side by '12'.
n = 6

Simplifying
n = 6