.6(n-1)=2(n+1)

Solution for .6(n-1)=2(n+1) equation:

Simplifying
0.6(n + -1) = 2(n + 1)

Reorder the terms:
0.6(-1 + n) = 2(n + 1)
(-1 * 0.6 + n * 0.6) = 2(n + 1)
(-0.6 + 0.6n) = 2(n + 1)

Reorder the terms:
-0.6 + 0.6n = 2(1 + n)
-0.6 + 0.6n = (1 * 2 + n * 2)
-0.6 + 0.6n = (2 + 2n)

Solving
-0.6 + 0.6n = 2 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-0.6 + 0.6n + -2n = 2 + 2n + -2n

Combine like terms: 0.6n + -2n = -1.4n
-0.6 + -1.4n = 2 + 2n + -2n

Combine like terms: 2n + -2n = 0
-0.6 + -1.4n = 2 + 0
-0.6 + -1.4n = 2

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -1.4n = 2 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -1.4n = 2 + 0.6
-1.4n = 2 + 0.6

Combine like terms: 2 + 0.6 = 2.6
-1.4n = 2.6

Divide each side by '-1.4'.
n = -1.857142857

Simplifying
n = -1.857142857