2(7-7(1-n))+9n=-22+4(6(n+1)-3n)

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Solution for 2(7-7(1-n))+9n=-22+4(6(n+1)-3n) equation:


Simplifying
2(7 + -7(1 + -1n)) + 9n = -22 + 4(6(n + 1) + -3n)
2(7 + (1 * -7 + -1n * -7)) + 9n = -22 + 4(6(n + 1) + -3n)
2(7 + (-7 + 7n)) + 9n = -22 + 4(6(n + 1) + -3n)

Combine like terms: 7 + -7 = 0
2(0 + 7n) + 9n = -22 + 4(6(n + 1) + -3n)
2(7n) + 9n = -22 + 4(6(n + 1) + -3n)

Remove parenthesis around (7n)
2 * 7n + 9n = -22 + 4(6(n + 1) + -3n)

Multiply 2 * 7
14n + 9n = -22 + 4(6(n + 1) + -3n)

Combine like terms: 14n + 9n = 23n
23n = -22 + 4(6(n + 1) + -3n)

Reorder the terms:
23n = -22 + 4(6(1 + n) + -3n)
23n = -22 + 4((1 * 6 + n * 6) + -3n)
23n = -22 + 4((6 + 6n) + -3n)

Combine like terms: 6n + -3n = 3n
23n = -22 + 4(6 + 3n)
23n = -22 + (6 * 4 + 3n * 4)
23n = -22 + (24 + 12n)

Combine like terms: -22 + 24 = 2
23n = 2 + 12n

Solving
23n = 2 + 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 = 2 + 12n + -12n

Combine like terms: 23n + -12n = 11n
11n = 2 + 12n + -12n

Combine like terms: 12n + -12n = 0
11n = 2 + 0
11n = 2

Divide each side by '11'.
n = 0.1818181818

Simplifying
n = 0.1818181818

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