2[7-6(1-n)]+7n=-20+4[6(n+1)-3n]

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Solution for 2[7-6(1-n)]+7n=-20+4[6(n+1)-3n] equation:


Simplifying
2[7 + -6(1 + -1n)] + 7n = -20 + 4[6(n + 1) + -3n]
2[7 + (1 * -6 + -1n * -6)] + 7n = -20 + 4[6(n + 1) + -3n]
2[7 + (-6 + 6n)] + 7n = -20 + 4[6(n + 1) + -3n]

Combine like terms: 7 + -6 = 1
2[1 + 6n] + 7n = -20 + 4[6(n + 1) + -3n]
[1 * 2 + 6n * 2] + 7n = -20 + 4[6(n + 1) + -3n]
[2 + 12n] + 7n = -20 + 4[6(n + 1) + -3n]

Combine like terms: 12n + 7n = 19n
2 + 19n = -20 + 4[6(n + 1) + -3n]

Reorder the terms:
2 + 19n = -20 + 4[6(1 + n) + -3n]
2 + 19n = -20 + 4[(1 * 6 + n * 6) + -3n]
2 + 19n = -20 + 4[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
2 + 19n = -20 + 4[6 + 3n]
2 + 19n = -20 + [6 * 4 + 3n * 4]
2 + 19n = -20 + [24 + 12n]

Combine like terms: -20 + 24 = 4
2 + 19n = 4 + 12n

Solving
2 + 19n = 4 + 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.
2 + 19n + -12n = 4 + 12n + -12n

Combine like terms: 19n + -12n = 7n
2 + 7n = 4 + 12n + -12n

Combine like terms: 12n + -12n = 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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