6+n-3n=13-3n

Solution for 6+n-3n=13-3n equation:

Simplifying
6 + n + -3n = 13 + -3n

Combine like terms: n + -3n = -2n
6 + -2n = 13 + -3n

Solving
6 + -2n = 13 + -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 + -2n + 3n = 13 + -3n + 3n

Combine like terms: -2n + 3n = 1n
6 + 1n = 13 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 1n = 13 + 0
6 + 1n = 13

Add '-6' to each side of the equation.
6 + -6 + 1n = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 13 + -6
1n = 13 + -6

Combine like terms: 13 + -6 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7