2[7-5(1-n)]+5n=-18+4[6(n+1)-3n]

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Solution for 2[7-5(1-n)]+5n=-18+4[6(n+1)-3n] equation:


Simplifying
2[7 + -5(1 + -1n)] + 5n = -18 + 4[6(n + 1) + -3n]
2[7 + (1 * -5 + -1n * -5)] + 5n = -18 + 4[6(n + 1) + -3n]
2[7 + (-5 + 5n)] + 5n = -18 + 4[6(n + 1) + -3n]

Combine like terms: 7 + -5 = 2
2[2 + 5n] + 5n = -18 + 4[6(n + 1) + -3n]
[2 * 2 + 5n * 2] + 5n = -18 + 4[6(n + 1) + -3n]
[4 + 10n] + 5n = -18 + 4[6(n + 1) + -3n]

Combine like terms: 10n + 5n = 15n
4 + 15n = -18 + 4[6(n + 1) + -3n]

Reorder the terms:
4 + 15n = -18 + 4[6(1 + n) + -3n]
4 + 15n = -18 + 4[(1 * 6 + n * 6) + -3n]
4 + 15n = -18 + 4[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
4 + 15n = -18 + 4[6 + 3n]
4 + 15n = -18 + [6 * 4 + 3n * 4]
4 + 15n = -18 + [24 + 12n]

Combine like terms: -18 + 24 = 6
4 + 15n = 6 + 12n

Solving
4 + 15n = 6 + 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.
4 + 15n + -12n = 6 + 12n + -12n

Combine like terms: 15n + -12n = 3n
4 + 3n = 6 + 12n + -12n

Combine like terms: 12n + -12n = 0
4 + 3n = 6 + 0
4 + 3n = 6

Add '-4' to each side of the equation.
4 + -4 + 3n = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 6 + -4
3n = 6 + -4

Combine like terms: 6 + -4 = 2
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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