0.2n-6=0.6(n+3)

Solution for 0.2n-6=0.6(n+3) equation:

Simplifying
0.2n + -6 = 0.6(n + 3)

Reorder the terms:
-6 + 0.2n = 0.6(n + 3)

Reorder the terms:
-6 + 0.2n = 0.6(3 + n)
-6 + 0.2n = (3 * 0.6 + n * 0.6)
-6 + 0.2n = (1.8 + 0.6n)

Solving
-6 + 0.2n = 1.8 + 0.6n

Solving for variable 'n'.

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

Add '-0.6n' to each side of the equation.
-6 + 0.2n + -0.6n = 1.8 + 0.6n + -0.6n

Combine like terms: 0.2n + -0.6n = -0.4n
-6 + -0.4n = 1.8 + 0.6n + -0.6n

Combine like terms: 0.6n + -0.6n = 0.0
-6 + -0.4n = 1.8 + 0.0
-6 + -0.4n = 1.8

Add '6' to each side of the equation.
-6 + 6 + -0.4n = 1.8 + 6

Combine like terms: -6 + 6 = 0
0 + -0.4n = 1.8 + 6
-0.4n = 1.8 + 6

Combine like terms: 1.8 + 6 = 7.8
-0.4n = 7.8

Divide each side by '-0.4'.
n = -19.5

Simplifying
n = -19.5