2[7-5(1-n)]+2n+1=-11+3[6(n+1)-3N]

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Solution for 2[7-5(1-n)]+2n+1=-11+3[6(n+1)-3N] equation: 


Simplifying
2[7 + -5(1 + -1n)] + 2n + 1 = -11 + 3[6(n + 1) + -3N]
2[7 + (1 * -5 + -1n * -5)] + 2n + 1 = -11 + 3[6(n + 1) + -3N]
2[7 + (-5 + 5n)] + 2n + 1 = -11 + 3[6(n + 1) + -3N]

Combine like terms: 7 + -5 = 2
2[2 + 5n] + 2n + 1 = -11 + 3[6(n + 1) + -3N]
[2 * 2 + 5n * 2] + 2n + 1 = -11 + 3[6(n + 1) + -3N]
[4 + 10n] + 2n + 1 = -11 + 3[6(n + 1) + -3N]

Reorder the terms:
4 + 1 + 10n + 2n = -11 + 3[6(n + 1) + -3N]

Combine like terms: 4 + 1 = 5
5 + 10n + 2n = -11 + 3[6(n + 1) + -3N]

Combine like terms: 10n + 2n = 12n
5 + 12n = -11 + 3[6(n + 1) + -3N]

Reorder the terms:
5 + 12n = -11 + 3[6(1 + n) + -3N]
5 + 12n = -11 + 3[(1 * 6 + n * 6) + -3N]
5 + 12n = -11 + 3[(6 + 6n) + -3N]

Reorder the terms:
5 + 12n = -11 + 3[6 + -3N + 6n]
5 + 12n = -11 + [6 * 3 + -3N * 3 + 6n * 3]
5 + 12n = -11 + [18 + -9N + 18n]

Combine like terms: -11 + 18 = 7
5 + 12n = 7 + -9N + 18n

Solving
5 + 12n = 7 + -9N + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
5 + 12n + -18n = 7 + -9N + 18n + -18n

Combine like terms: 12n + -18n = -6n
5 + -6n = 7 + -9N + 18n + -18n

Combine like terms: 18n + -18n = 0
5 + -6n = 7 + -9N + 0
5 + -6n = 7 + -9N

Add '-5' to each side of the equation.
5 + -5 + -6n = 7 + -5 + -9N

Combine like terms: 5 + -5 = 0
0 + -6n = 7 + -5 + -9N
-6n = 7 + -5 + -9N

Combine like terms: 7 + -5 = 2
-6n = 2 + -9N

Divide each side by '-6'.
n = -0.3333333333 + 1.5N

Simplifying
n = -0.3333333333 + 1.5N

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