4n+6=42-5n

Solution for 4n+6=42-5n equation:

Simplifying
4n + 6 = 42 + -5n

Reorder the terms:
6 + 4n = 42 + -5n

Solving
6 + 4n = 42 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
6 + 4n + 5n = 42 + -5n + 5n

Combine like terms: 4n + 5n = 9n
6 + 9n = 42 + -5n + 5n

Combine like terms: -5n + 5n = 0
6 + 9n = 42 + 0
6 + 9n = 42

Add '-6' to each side of the equation.
6 + -6 + 9n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9n = 42 + -6
9n = 42 + -6

Combine like terms: 42 + -6 = 36
9n = 36

Divide each side by '9'.
n = 4

Simplifying
n = 4