2(7-7(1-n))+7n=-34+6(6(n+1)-3n)

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Solution for 2(7-7(1-n))+7n=-34+6(6(n+1)-3n) equation:


Simplifying
2(7 + -7(1 + -1n)) + 7n = -34 + 6(6(n + 1) + -3n)
2(7 + (1 * -7 + -1n * -7)) + 7n = -34 + 6(6(n + 1) + -3n)
2(7 + (-7 + 7n)) + 7n = -34 + 6(6(n + 1) + -3n)

Combine like terms: 7 + -7 = 0
2(0 + 7n) + 7n = -34 + 6(6(n + 1) + -3n)
2(7n) + 7n = -34 + 6(6(n + 1) + -3n)

Remove parenthesis around (7n)
2 * 7n + 7n = -34 + 6(6(n + 1) + -3n)

Multiply 2 * 7
14n + 7n = -34 + 6(6(n + 1) + -3n)

Combine like terms: 14n + 7n = 21n
21n = -34 + 6(6(n + 1) + -3n)

Reorder the terms:
21n = -34 + 6(6(1 + n) + -3n)
21n = -34 + 6((1 * 6 + n * 6) + -3n)
21n = -34 + 6((6 + 6n) + -3n)

Combine like terms: 6n + -3n = 3n
21n = -34 + 6(6 + 3n)
21n = -34 + (6 * 6 + 3n * 6)
21n = -34 + (36 + 18n)

Combine like terms: -34 + 36 = 2
21n = 2 + 18n

Solving
21n = 2 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
21n + -18n = 2 + 18n + -18n

Combine like terms: 21n + -18n = 3n
3n = 2 + 18n + -18n

Combine like terms: 18n + -18n = 0
3n = 2 + 0
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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