0.6(n+1)=2.4(n-11)

Solution for 0.6(n+1)=2.4(n-11) equation:

Simplifying
0.6(n + 1) = 2.4(n + -11)

Reorder the terms:
0.6(1 + n) = 2.4(n + -11)
(1 * 0.6 + n * 0.6) = 2.4(n + -11)
(0.6 + 0.6n) = 2.4(n + -11)

Reorder the terms:
0.6 + 0.6n = 2.4(-11 + n)
0.6 + 0.6n = (-11 * 2.4 + n * 2.4)
0.6 + 0.6n = (-26.4 + 2.4n)

Solving
0.6 + 0.6n = -26.4 + 2.4n

Solving for variable 'n'.

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

Add '-2.4n' to each side of the equation.
0.6 + 0.6n + -2.4n = -26.4 + 2.4n + -2.4n

Combine like terms: 0.6n + -2.4n = -1.8n
0.6 + -1.8n = -26.4 + 2.4n + -2.4n

Combine like terms: 2.4n + -2.4n = 0.0
0.6 + -1.8n = -26.4 + 0.0
0.6 + -1.8n = -26.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1.8n = -26.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.8n = -26.4 + -0.6
-1.8n = -26.4 + -0.6

Combine like terms: -26.4 + -0.6 = -27
-1.8n = -27

Divide each side by '-1.8'.
n = 15

Simplifying
n = 15