5n+3n-2n+6=42

Solution for 5n+3n-2n+6=42 equation:

Simplifying
5n + 3n + -2n + 6 = 42

Reorder the terms:
6 + 5n + 3n + -2n = 42

Combine like terms: 5n + 3n = 8n
6 + 8n + -2n = 42

Combine like terms: 8n + -2n = 6n
6 + 6n = 42

Solving
6 + 6n = 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 + 6n = 42 + -6

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

Combine like terms: 42 + -6 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6