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

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

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

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

Combine like terms: 3 + 2 = 5
5 + -1 + n + n + 3n = 2(n + 1) + -1 + 4n

Combine like terms: 5 + -1 = 4
4 + n + n + 3n = 2(n + 1) + -1 + 4n

Combine like terms: n + n = 2n
4 + 2n + 3n = 2(n + 1) + -1 + 4n

Combine like terms: 2n + 3n = 5n
4 + 5n = 2(n + 1) + -1 + 4n

Reorder the terms:
4 + 5n = 2(1 + n) + -1 + 4n
4 + 5n = (1 * 2 + n * 2) + -1 + 4n
4 + 5n = (2 + 2n) + -1 + 4n

Reorder the terms:
4 + 5n = 2 + -1 + 2n + 4n

Combine like terms: 2 + -1 = 1
4 + 5n = 1 + 2n + 4n

Combine like terms: 2n + 4n = 6n
4 + 5n = 1 + 6n

Solving
4 + 5n = 1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
4 + 5n + -6n = 1 + 6n + -6n

Combine like terms: 5n + -6n = -1n
4 + -1n = 1 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + -1n = 1 + 0
4 + -1n = 1

Add '-4' to each side of the equation.
4 + -4 + -1n = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 1 + -4
-1n = 1 + -4

Combine like terms: 1 + -4 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3