3n+2n-6=-42+1

Solution for 3n+2n-6=-42+1 equation:

Simplifying
3n + 2n + -6 = -42 + 1

Reorder the terms:
-6 + 3n + 2n = -42 + 1

Combine like terms: 3n + 2n = 5n
-6 + 5n = -42 + 1

Combine like terms: -42 + 1 = -41
-6 + 5n = -41

Solving
-6 + 5n = -41

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 + 5n = -41 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = -41 + 6
5n = -41 + 6

Combine like terms: -41 + 6 = -35
5n = -35

Divide each side by '5'.
n = -7

Simplifying
n = -7