.25(8n-12)=4n

Solution for .25(8n-12)=4n equation:

Simplifying
0.25(8n + -12) = 4n

Reorder the terms:
0.25(-12 + 8n) = 4n
(-12 * 0.25 + 8n * 0.25) = 4n
(-3 + 2n) = 4n

Solving
-3 + 2n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-3 + 2n + -4n = 4n + -4n

Combine like terms: 2n + -4n = -2n
-3 + -2n = 4n + -4n

Combine like terms: 4n + -4n = 0
-3 + -2n = 0

Add '3' to each side of the equation.
-3 + 3 + -2n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2n = 0 + 3
-2n = 0 + 3

Combine like terms: 0 + 3 = 3
-2n = 3

Divide each side by '-2'.
n = -1.5

Simplifying
n = -1.5