2n+2(n+0.6)=4n+2(n+0.1)

Solution for 2n+2(n+0.6)=4n+2(n+0.1) equation:

Simplifying
2n + 2(n + 0.6) = 4n + 2(n + 0.1)

Reorder the terms:
2n + 2(0.6 + n) = 4n + 2(n + 0.1)
2n + (0.6 * 2 + n * 2) = 4n + 2(n + 0.1)
2n + (1.2 + 2n) = 4n + 2(n + 0.1)

Reorder the terms:
1.2 + 2n + 2n = 4n + 2(n + 0.1)

Combine like terms: 2n + 2n = 4n
1.2 + 4n = 4n + 2(n + 0.1)

Reorder the terms:
1.2 + 4n = 4n + 2(0.1 + n)
1.2 + 4n = 4n + (0.1 * 2 + n * 2)
1.2 + 4n = 4n + (0.2 + 2n)

Reorder the terms:
1.2 + 4n = 0.2 + 4n + 2n

Combine like terms: 4n + 2n = 6n
1.2 + 4n = 0.2 + 6n

Solving
1.2 + 4n = 0.2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1.2 + 4n + -6n = 0.2 + 6n + -6n

Combine like terms: 4n + -6n = -2n
1.2 + -2n = 0.2 + 6n + -6n

Combine like terms: 6n + -6n = 0
1.2 + -2n = 0.2 + 0
1.2 + -2n = 0.2

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -2n = 0.2 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -2n = 0.2 + -1.2
-2n = 0.2 + -1.2

Combine like terms: 0.2 + -1.2 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5