2n+6+n=4n-3n+4

Solution for 2n+6+n=4n-3n+4 equation:

Simplifying
2n + 6 + n = 4n + -3n + 4

Reorder the terms:
6 + 2n + n = 4n + -3n + 4

Combine like terms: 2n + n = 3n
6 + 3n = 4n + -3n + 4

Reorder the terms:
6 + 3n = 4 + 4n + -3n

Combine like terms: 4n + -3n = 1n
6 + 3n = 4 + 1n

Solving
6 + 3n = 4 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + 3n + -1n = 4 + 1n + -1n

Combine like terms: 3n + -1n = 2n
6 + 2n = 4 + 1n + -1n

Combine like terms: 1n + -1n = 0
6 + 2n = 4 + 0
6 + 2n = 4

Add '-6' to each side of the equation.
6 + -6 + 2n = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 4 + -6
2n = 4 + -6

Combine like terms: 4 + -6 = -2
2n = -2

Divide each side by '2'.
n = -1

Simplifying
n = -1