6+3n=n-1+3n

Solution for 6+3n=n-1+3n equation:

Simplifying
6 + 3n = n + -1 + 3n

Reorder the terms:
6 + 3n = -1 + n + 3n

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

Solving
6 + 3n = -1 + 4n

Solving for variable 'n'.

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

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

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

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

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

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

Combine like terms: -1 + -6 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7