6-0.4(n-17)=0.6(3n-17)

Solution for 6-0.4(n-17)=0.6(3n-17) equation:

Simplifying
6 + -0.4(n + -17) = 0.6(3n + -17)

Reorder the terms:
6 + -0.4(-17 + n) = 0.6(3n + -17)
6 + (-17 * -0.4 + n * -0.4) = 0.6(3n + -17)
6 + (6.8 + -0.4n) = 0.6(3n + -17)

Combine like terms: 6 + 6.8 = 12.8
12.8 + -0.4n = 0.6(3n + -17)

Reorder the terms:
12.8 + -0.4n = 0.6(-17 + 3n)
12.8 + -0.4n = (-17 * 0.6 + 3n * 0.6)
12.8 + -0.4n = (-10.2 + 1.8n)

Solving
12.8 + -0.4n = -10.2 + 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.
12.8 + -0.4n + -1.8n = -10.2 + 1.8n + -1.8n

Combine like terms: -0.4n + -1.8n = -2.2n
12.8 + -2.2n = -10.2 + 1.8n + -1.8n

Combine like terms: 1.8n + -1.8n = 0.0
12.8 + -2.2n = -10.2 + 0.0
12.8 + -2.2n = -10.2

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -2.2n = -10.2 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -2.2n = -10.2 + -12.8
-2.2n = -10.2 + -12.8

Combine like terms: -10.2 + -12.8 = -23
-2.2n = -23

Divide each side by '-2.2'.
n = 10.45454545

Simplifying
n = 10.45454545