3.2(n-0.5)+2=-1.8n-4.1

Solution for 3.2(n-0.5)+2=-1.8n-4.1 equation:

Simplifying
3.2(n + -0.5) + 2 = -1.8n + -4.1

Reorder the terms:
3.2(-0.5 + n) + 2 = -1.8n + -4.1
(-0.5 * 3.2 + n * 3.2) + 2 = -1.8n + -4.1
(-1.6 + 3.2n) + 2 = -1.8n + -4.1

Reorder the terms:
-1.6 + 2 + 3.2n = -1.8n + -4.1

Combine like terms: -1.6 + 2 = 0.4
0.4 + 3.2n = -1.8n + -4.1

Reorder the terms:
0.4 + 3.2n = -4.1 + -1.8n

Solving
0.4 + 3.2n = -4.1 + -1.8n

Solving for variable 'n'.

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

Add '1.8n' to each side of the equation.
0.4 + 3.2n + 1.8n = -4.1 + -1.8n + 1.8n

Combine like terms: 3.2n + 1.8n = 5n
0.4 + 5n = -4.1 + -1.8n + 1.8n

Combine like terms: -1.8n + 1.8n = 0.0
0.4 + 5n = -4.1 + 0.0
0.4 + 5n = -4.1

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 5n = -4.1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 5n = -4.1 + -0.4
5n = -4.1 + -0.4

Combine like terms: -4.1 + -0.4 = -4.5
5n = -4.5

Divide each side by '5'.
n = -0.9

Simplifying
n = -0.9