2[7-5(1-n)]+5n=-6+2[6(n+1)-3n]

Solution for 2[7-5(1-n)]+5n=-6+2[6(n+1)-3n] equation:

Simplifying
2[7 + -5(1 + -1n)] + 5n = -6 + 2[6(n + 1) + -3n]
2[7 + (1 * -5 + -1n * -5)] + 5n = -6 + 2[6(n + 1) + -3n]
2[7 + (-5 + 5n)] + 5n = -6 + 2[6(n + 1) + -3n]

Combine like terms: 7 + -5 = 2
2[2 + 5n] + 5n = -6 + 2[6(n + 1) + -3n]
[2 * 2 + 5n * 2] + 5n = -6 + 2[6(n + 1) + -3n]
[4 + 10n] + 5n = -6 + 2[6(n + 1) + -3n]

Combine like terms: 10n + 5n = 15n
4 + 15n = -6 + 2[6(n + 1) + -3n]

Reorder the terms:
4 + 15n = -6 + 2[6(1 + n) + -3n]
4 + 15n = -6 + 2[(1 * 6 + n * 6) + -3n]
4 + 15n = -6 + 2[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
4 + 15n = -6 + 2[6 + 3n]
4 + 15n = -6 + [6 * 2 + 3n * 2]
4 + 15n = -6 + [12 + 6n]

Combine like terms: -6 + 12 = 6
4 + 15n = 6 + 6n

Solving
4 + 15n = 6 + 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.
4 + 15n + -6n = 6 + 6n + -6n

Combine like terms: 15n + -6n = 9n
4 + 9n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + 9n = 6 + 0
4 + 9n = 6

Add '-4' to each side of the equation.
4 + -4 + 9n = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 9n = 6 + -4
9n = 6 + -4

Combine like terms: 6 + -4 = 2
9n = 2

Divide each side by '9'.
n = 0.2222222222

Simplifying
n = 0.2222222222