4n=0.2(n-8)

Solution for 4n=0.2(n-8) equation:

Simplifying
4n = 0.2(n + -8)

Reorder the terms:
4n = 0.2(-8 + n)
4n = (-8 * 0.2 + n * 0.2)
4n = (-1.6 + 0.2n)

Solving
4n = -1.6 + 0.2n

Solving for variable 'n'.

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

Add '-0.2n' to each side of the equation.
4n + -0.2n = -1.6 + 0.2n + -0.2n

Combine like terms: 4n + -0.2n = 3.8n
3.8n = -1.6 + 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
3.8n = -1.6 + 0.0
3.8n = -1.6

Divide each side by '3.8'.
n = -0.4210526316

Simplifying
n = -0.4210526316