.2(n-16)=.4n

Solution for .2(n-16)=.4n equation:

Simplifying
0.2(n + -16) = 0.4n

Reorder the terms:
0.2(-16 + n) = 0.4n
(-16 * 0.2 + n * 0.2) = 0.4n
(-3.2 + 0.2n) = 0.4n

Solving
-3.2 + 0.2n = 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.
-3.2 + 0.2n + -0.4n = 0.4n + -0.4n

Combine like terms: 0.2n + -0.4n = -0.2n
-3.2 + -0.2n = 0.4n + -0.4n

Combine like terms: 0.4n + -0.4n = 0.0
-3.2 + -0.2n = 0.0

Add '3.2' to each side of the equation.
-3.2 + 3.2 + -0.2n = 0.0 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + -0.2n = 0.0 + 3.2
-0.2n = 0.0 + 3.2

Combine like terms: 0.0 + 3.2 = 3.2
-0.2n = 3.2

Divide each side by '-0.2'.
n = -16

Simplifying
n = -16