.2n+3n=2n+42

Solution for .2n+3n=2n+42 equation:

Simplifying
0.2n + 3n = 2n + 42

Combine like terms: 0.2n + 3n = 3.2n
3.2n = 2n + 42

Reorder the terms:
3.2n = 42 + 2n

Solving
3.2n = 42 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3.2n + -2n = 42 + 2n + -2n

Combine like terms: 3.2n + -2n = 1.2n
1.2n = 42 + 2n + -2n

Combine like terms: 2n + -2n = 0
1.2n = 42 + 0
1.2n = 42

Divide each side by '1.2'.
n = 35

Simplifying
n = 35