2[6-5(1-n)]+6n=-14+3[6(n+1)-3n]

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Solution for 2[6-5(1-n)]+6n=-14+3[6(n+1)-3n] equation:


Simplifying
2[6 + -5(1 + -1n)] + 6n = -14 + 3[6(n + 1) + -3n]
2[6 + (1 * -5 + -1n * -5)] + 6n = -14 + 3[6(n + 1) + -3n]
2[6 + (-5 + 5n)] + 6n = -14 + 3[6(n + 1) + -3n]

Combine like terms: 6 + -5 = 1
2[1 + 5n] + 6n = -14 + 3[6(n + 1) + -3n]
[1 * 2 + 5n * 2] + 6n = -14 + 3[6(n + 1) + -3n]
[2 + 10n] + 6n = -14 + 3[6(n + 1) + -3n]

Combine like terms: 10n + 6n = 16n
2 + 16n = -14 + 3[6(n + 1) + -3n]

Reorder the terms:
2 + 16n = -14 + 3[6(1 + n) + -3n]
2 + 16n = -14 + 3[(1 * 6 + n * 6) + -3n]
2 + 16n = -14 + 3[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
2 + 16n = -14 + 3[6 + 3n]
2 + 16n = -14 + [6 * 3 + 3n * 3]
2 + 16n = -14 + [18 + 9n]

Combine like terms: -14 + 18 = 4
2 + 16n = 4 + 9n

Solving
2 + 16n = 4 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
2 + 16n + -9n = 4 + 9n + -9n

Combine like terms: 16n + -9n = 7n
2 + 7n = 4 + 9n + -9n

Combine like terms: 9n + -9n = 0
2 + 7n = 4 + 0
2 + 7n = 4

Add '-2' to each side of the equation.
2 + -2 + 7n = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 4 + -2
7n = 4 + -2

Combine like terms: 4 + -2 = 2
7n = 2

Divide each side by '7'.
n = 0.2857142857

Simplifying
n = 0.2857142857

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