6-5n+3n=31-61

Solution for 6-5n+3n=31-61 equation:

Simplifying
6 + -5n + 3n = 31 + -61

Combine like terms: -5n + 3n = -2n
6 + -2n = 31 + -61

Combine like terms: 31 + -61 = -30
6 + -2n = -30

Solving
6 + -2n = -30

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + -2n = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -30 + -6
-2n = -30 + -6

Combine like terms: -30 + -6 = -36
-2n = -36

Divide each side by '-2'.
n = 18

Simplifying
n = 18