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 brackets 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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