2[7-5(1-n)]+8=-12+3[6(n+1)-3n]

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Solution for 2[7-5(1-n)]+8=-12+3[6(n+1)-3n] equation:


Simplifying
2[7 + -5(1 + -1n)] + 8 = -12 + 3[6(n + 1) + -3n]
2[7 + (1 * -5 + -1n * -5)] + 8 = -12 + 3[6(n + 1) + -3n]
2[7 + (-5 + 5n)] + 8 = -12 + 3[6(n + 1) + -3n]

Combine like terms: 7 + -5 = 2
2[2 + 5n] + 8 = -12 + 3[6(n + 1) + -3n]
[2 * 2 + 5n * 2] + 8 = -12 + 3[6(n + 1) + -3n]
[4 + 10n] + 8 = -12 + 3[6(n + 1) + -3n]

Reorder the terms:
4 + 8 + 10n = -12 + 3[6(n + 1) + -3n]

Combine like terms: 4 + 8 = 12
12 + 10n = -12 + 3[6(n + 1) + -3n]

Reorder the terms:
12 + 10n = -12 + 3[6(1 + n) + -3n]
12 + 10n = -12 + 3[(1 * 6 + n * 6) + -3n]
12 + 10n = -12 + 3[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
12 + 10n = -12 + 3[6 + 3n]
12 + 10n = -12 + [6 * 3 + 3n * 3]
12 + 10n = -12 + [18 + 9n]

Combine like terms: -12 + 18 = 6
12 + 10n = 6 + 9n

Solving
12 + 10n = 6 + 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.
12 + 10n + -9n = 6 + 9n + -9n

Combine like terms: 10n + -9n = 1n
12 + 1n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
12 + 1n = 6 + 0
12 + 1n = 6

Add '-12' to each side of the equation.
12 + -12 + 1n = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 6 + -12
1n = 6 + -12

Combine like terms: 6 + -12 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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