2[7-3(1-n)]+9n=-14+4[6(n+1)-3n]

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Solution for 2[7-3(1-n)]+9n=-14+4[6(n+1)-3n] equation:


Simplifying
2[7 + -3(1 + -1n)] + 9n = -14 + 4[6(n + 1) + -3n]
2[7 + (1 * -3 + -1n * -3)] + 9n = -14 + 4[6(n + 1) + -3n]
2[7 + (-3 + 3n)] + 9n = -14 + 4[6(n + 1) + -3n]

Combine like terms: 7 + -3 = 4
2[4 + 3n] + 9n = -14 + 4[6(n + 1) + -3n]
[4 * 2 + 3n * 2] + 9n = -14 + 4[6(n + 1) + -3n]
[8 + 6n] + 9n = -14 + 4[6(n + 1) + -3n]

Combine like terms: 6n + 9n = 15n
8 + 15n = -14 + 4[6(n + 1) + -3n]

Reorder the terms:
8 + 15n = -14 + 4[6(1 + n) + -3n]
8 + 15n = -14 + 4[(1 * 6 + n * 6) + -3n]
8 + 15n = -14 + 4[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
8 + 15n = -14 + 4[6 + 3n]
8 + 15n = -14 + [6 * 4 + 3n * 4]
8 + 15n = -14 + [24 + 12n]

Combine like terms: -14 + 24 = 10
8 + 15n = 10 + 12n

Solving
8 + 15n = 10 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
8 + 15n + -12n = 10 + 12n + -12n

Combine like terms: 15n + -12n = 3n
8 + 3n = 10 + 12n + -12n

Combine like terms: 12n + -12n = 0
8 + 3n = 10 + 0
8 + 3n = 10

Add '-8' to each side of the equation.
8 + -8 + 3n = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = 10 + -8
3n = 10 + -8

Combine like terms: 10 + -8 = 2
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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