2[7-7(1-n)]+9n=-14+4[6(n+1)-3n]

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Solution for 2[7-7(1-n)]+9n=-14+4[6(n+1)-3n] equation:


Simplifying
2[7 + -7(1 + -1n)] + 9n = -14 + 4[6(n + 1) + -3n]
2[7 + (1 * -7 + -1n * -7)] + 9n = -14 + 4[6(n + 1) + -3n]
2[7 + (-7 + 7n)] + 9n = -14 + 4[6(n + 1) + -3n]

Combine like terms: 7 + -7 = 0
2[0 + 7n] + 9n = -14 + 4[6(n + 1) + -3n]
2[7n] + 9n = -14 + 4[6(n + 1) + -3n]

Remove brackets around [7n]
2 * 7n + 9n = -14 + 4[6(n + 1) + -3n]

Multiply 2 * 7
14n + 9n = -14 + 4[6(n + 1) + -3n]

Combine like terms: 14n + 9n = 23n
23n = -14 + 4[6(n + 1) + -3n]

Reorder the terms:
23n = -14 + 4[6(1 + n) + -3n]
23n = -14 + 4[(1 * 6 + n * 6) + -3n]
23n = -14 + 4[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
23n = -14 + 4[6 + 3n]
23n = -14 + [6 * 4 + 3n * 4]
23n = -14 + [24 + 12n]

Combine like terms: -14 + 24 = 10
23n = 10 + 12n

Solving
23n = 10 + 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.
23n + -12n = 10 + 12n + -12n

Combine like terms: 23n + -12n = 11n
11n = 10 + 12n + -12n

Combine like terms: 12n + -12n = 0
11n = 10 + 0
11n = 10

Divide each side by '11'.
n = 0.9090909091

Simplifying
n = 0.9090909091

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