2(7-6(1-n))+6n=-14+3(6(n+1)-3n)

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


Simplifying
2(7 + -6(1 + -1n)) + 6n = -14 + 3(6(n + 1) + -3n)
2(7 + (1 * -6 + -1n * -6)) + 6n = -14 + 3(6(n + 1) + -3n)
2(7 + (-6 + 6n)) + 6n = -14 + 3(6(n + 1) + -3n)

Combine like terms: 7 + -6 = 1
2(1 + 6n) + 6n = -14 + 3(6(n + 1) + -3n)
(1 * 2 + 6n * 2) + 6n = -14 + 3(6(n + 1) + -3n)
(2 + 12n) + 6n = -14 + 3(6(n + 1) + -3n)

Combine like terms: 12n + 6n = 18n
2 + 18n = -14 + 3(6(n + 1) + -3n)

Reorder the terms:
2 + 18n = -14 + 3(6(1 + n) + -3n)
2 + 18n = -14 + 3((1 * 6 + n * 6) + -3n)
2 + 18n = -14 + 3((6 + 6n) + -3n)

Combine like terms: 6n + -3n = 3n
2 + 18n = -14 + 3(6 + 3n)
2 + 18n = -14 + (6 * 3 + 3n * 3)
2 + 18n = -14 + (18 + 9n)

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

Solving
2 + 18n = 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 + 18n + -9n = 4 + 9n + -9n

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

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

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

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

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

Divide each side by '9'.
n = 0.2222222222

Simplifying
n = 0.2222222222

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