0.28(n-9)-n=0.06(6-2n)

Solution for 0.28(n-9)-n=0.06(6-2n) equation:

Simplifying
0.28(n + -9) + -1n = 0.06(6 + -2n)

Reorder the terms:
0.28(-9 + n) + -1n = 0.06(6 + -2n)
(-9 * 0.28 + n * 0.28) + -1n = 0.06(6 + -2n)
(-2.52 + 0.28n) + -1n = 0.06(6 + -2n)

Combine like terms: 0.28n + -1n = -0.72n
-2.52 + -0.72n = 0.06(6 + -2n)
-2.52 + -0.72n = (6 * 0.06 + -2n * 0.06)
-2.52 + -0.72n = (0.36 + -0.12n)

Solving
-2.52 + -0.72n = 0.36 + -0.12n

Solving for variable 'n'.

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

Add '0.12n' to each side of the equation.
-2.52 + -0.72n + 0.12n = 0.36 + -0.12n + 0.12n

Combine like terms: -0.72n + 0.12n = -0.6n
-2.52 + -0.6n = 0.36 + -0.12n + 0.12n

Combine like terms: -0.12n + 0.12n = 0.00
-2.52 + -0.6n = 0.36 + 0.00
-2.52 + -0.6n = 0.36

Add '2.52' to each side of the equation.
-2.52 + 2.52 + -0.6n = 0.36 + 2.52

Combine like terms: -2.52 + 2.52 = 0.00
0.00 + -0.6n = 0.36 + 2.52
-0.6n = 0.36 + 2.52

Combine like terms: 0.36 + 2.52 = 2.88
-0.6n = 2.88

Divide each side by '-0.6'.
n = -4.8

Simplifying
n = -4.8