n+n+n+n+1=2+n+n+n

Solution for n+n+n+n+1=2+n+n+n equation:

Simplifying
n + n + n + n + 1 = 2 + n + n + n

Reorder the terms:
1 + n + n + n + n = 2 + n + n + n

Combine like terms: n + n = 2n
1 + 2n + n + n = 2 + n + n + n

Combine like terms: 2n + n = 3n
1 + 3n + n = 2 + n + n + n

Combine like terms: 3n + n = 4n
1 + 4n = 2 + n + n + n

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

Combine like terms: 2n + n = 3n
1 + 4n = 2 + 3n

Solving
1 + 4n = 2 + 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.
1 + 4n + -3n = 2 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
1 + 1n = 2 + 0
1 + 1n = 2

Add '-1' to each side of the equation.
1 + -1 + 1n = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 1n = 2 + -1
1n = 2 + -1

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

Divide each side by '1'.
n = 1

Simplifying
n = 1