.4(n-3)=.2n

Solution for .4(n-3)=.2n equation:

Simplifying
0.4(n + -3) = 0.2n

Reorder the terms:
0.4(-3 + n) = 0.2n
(-3 * 0.4 + n * 0.4) = 0.2n
(-1.2 + 0.4n) = 0.2n

Solving
-1.2 + 0.4n = 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.
-1.2 + 0.4n + -0.2n = 0.2n + -0.2n

Combine like terms: 0.4n + -0.2n = 0.2n
-1.2 + 0.2n = 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
-1.2 + 0.2n = 0.0

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.2n = 0.0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.2n = 0.0 + 1.2
0.2n = 0.0 + 1.2

Combine like terms: 0.0 + 1.2 = 1.2
0.2n = 1.2

Divide each side by '0.2'.
n = 6

Simplifying
n = 6