0.8n-1.6=1.2n+0.4

Solution for 0.8n-1.6=1.2n+0.4 equation:

Simplifying
0.8n + -1.6 = 1.2n + 0.4

Reorder the terms:
-1.6 + 0.8n = 1.2n + 0.4

Reorder the terms:
-1.6 + 0.8n = 0.4 + 1.2n

Solving
-1.6 + 0.8n = 0.4 + 1.2n

Solving for variable 'n'.

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

Add '-1.2n' to each side of the equation.
-1.6 + 0.8n + -1.2n = 0.4 + 1.2n + -1.2n

Combine like terms: 0.8n + -1.2n = -0.4n
-1.6 + -0.4n = 0.4 + 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
-1.6 + -0.4n = 0.4 + 0.0
-1.6 + -0.4n = 0.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.4n = 0.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.4n = 0.4 + 1.6
-0.4n = 0.4 + 1.6

Combine like terms: 0.4 + 1.6 = 2
-0.4n = 2

Divide each side by '-0.4'.
n = -5

Simplifying
n = -5