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

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

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

Reorder the terms:
4 + 2(1 + 3n) = 3(n + 3)
4 + (1 * 2 + 3n * 2) = 3(n + 3)
4 + (2 + 6n) = 3(n + 3)

Combine like terms: 4 + 2 = 6
6 + 6n = 3(n + 3)

Reorder the terms:
6 + 6n = 3(3 + n)
6 + 6n = (3 * 3 + n * 3)
6 + 6n = (9 + 3n)

Solving
6 + 6n = 9 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 6n + -3n = 9 + 3n + -3n

Combine like terms: 6n + -3n = 3n
6 + 3n = 9 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 3n = 9 + 0
6 + 3n = 9

Add '-6' to each side of the equation.
6 + -6 + 3n = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 9 + -6
3n = 9 + -6

Combine like terms: 9 + -6 = 3
3n = 3

Divide each side by '3'.
n = 1

Simplifying
n = 1