2[7-4(1-n)]+5n=-4+2[6(n+1)-3n]

Solution for 2[7-4(1-n)]+5n=-4+2[6(n+1)-3n] equation:

Simplifying
2[7 + -4(1 + -1n)] + 5n = -4 + 2[6(n + 1) + -3n]
2[7 + (1 * -4 + -1n * -4)] + 5n = -4 + 2[6(n + 1) + -3n]
2[7 + (-4 + 4n)] + 5n = -4 + 2[6(n + 1) + -3n]

Combine like terms: 7 + -4 = 3
2[3 + 4n] + 5n = -4 + 2[6(n + 1) + -3n]
[3 * 2 + 4n * 2] + 5n = -4 + 2[6(n + 1) + -3n]
[6 + 8n] + 5n = -4 + 2[6(n + 1) + -3n]

Combine like terms: 8n + 5n = 13n
6 + 13n = -4 + 2[6(n + 1) + -3n]

Reorder the terms:
6 + 13n = -4 + 2[6(1 + n) + -3n]
6 + 13n = -4 + 2[(1 * 6 + n * 6) + -3n]
6 + 13n = -4 + 2[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
6 + 13n = -4 + 2[6 + 3n]
6 + 13n = -4 + [6 * 2 + 3n * 2]
6 + 13n = -4 + [12 + 6n]

Combine like terms: -4 + 12 = 8
6 + 13n = 8 + 6n

Solving
6 + 13n = 8 + 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.
6 + 13n + -6n = 8 + 6n + -6n

Combine like terms: 13n + -6n = 7n
6 + 7n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + 7n = 8 + 0
6 + 7n = 8

Add '-6' to each side of the equation.
6 + -6 + 7n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 8 + -6
7n = 8 + -6

Combine like terms: 8 + -6 = 2
7n = 2

Divide each side by '7'.
n = 0.2857142857

Simplifying
n = 0.2857142857