2n+4(1+3n)=32

Solution for 2n+4(1+3n)=32 equation:

Simplifying
2n + 4(1 + 3n) = 32
2n + (1 * 4 + 3n * 4) = 32
2n + (4 + 12n) = 32

Reorder the terms:
4 + 2n + 12n = 32

Combine like terms: 2n + 12n = 14n
4 + 14n = 32

Solving
4 + 14n = 32

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + 14n = 32 + -4

Combine like terms: 4 + -4 = 0
0 + 14n = 32 + -4
14n = 32 + -4

Combine like terms: 32 + -4 = 28
14n = 28

Divide each side by '14'.
n = 2

Simplifying
n = 2