0.2(n-5)=0.3n+6-4+0.1n

Solution for 0.2(n-5)=0.3n+6-4+0.1n equation:

Simplifying
0.2(n + -5) = 0.3n + 6 + -4 + 0.1n

Reorder the terms:
0.2(-5 + n) = 0.3n + 6 + -4 + 0.1n
(-5 * 0.2 + n * 0.2) = 0.3n + 6 + -4 + 0.1n
(-1 + 0.2n) = 0.3n + 6 + -4 + 0.1n

Reorder the terms:
-1 + 0.2n = 6 + -4 + 0.3n + 0.1n

Combine like terms: 6 + -4 = 2
-1 + 0.2n = 2 + 0.3n + 0.1n

Combine like terms: 0.3n + 0.1n = 0.4n
-1 + 0.2n = 2 + 0.4n

Solving
-1 + 0.2n = 2 + 0.4n

Solving for variable 'n'.

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

Add '-0.4n' to each side of the equation.
-1 + 0.2n + -0.4n = 2 + 0.4n + -0.4n

Combine like terms: 0.2n + -0.4n = -0.2n
-1 + -0.2n = 2 + 0.4n + -0.4n

Combine like terms: 0.4n + -0.4n = 0.0
-1 + -0.2n = 2 + 0.0
-1 + -0.2n = 2

Add '1' to each side of the equation.
-1 + 1 + -0.2n = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -0.2n = 2 + 1
-0.2n = 2 + 1

Combine like terms: 2 + 1 = 3
-0.2n = 3

Divide each side by '-0.2'.
n = -15

Simplifying
n = -15