6-6n+3n=42-84

Solution for 6-6n+3n=42-84 equation:

Simplifying
6 + -6n + 3n = 42 + -84

Combine like terms: -6n + 3n = -3n
6 + -3n = 42 + -84

Combine like terms: 42 + -84 = -42
6 + -3n = -42

Solving
6 + -3n = -42

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 + -3n = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -42 + -6
-3n = -42 + -6

Combine like terms: -42 + -6 = -48
-3n = -48

Divide each side by '-3'.
n = 16

Simplifying
n = 16