2(7-7(1-n))+6n=-16+3(6(n+1)-3n)

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Solution for 2(7-7(1-n))+6n=-16+3(6(n+1)-3n) equation:


Simplifying
2(7 + -7(1 + -1n)) + 6n = -16 + 3(6(n + 1) + -3n)
2(7 + (1 * -7 + -1n * -7)) + 6n = -16 + 3(6(n + 1) + -3n)
2(7 + (-7 + 7n)) + 6n = -16 + 3(6(n + 1) + -3n)

Combine like terms: 7 + -7 = 0
2(0 + 7n) + 6n = -16 + 3(6(n + 1) + -3n)
2(7n) + 6n = -16 + 3(6(n + 1) + -3n)

Remove parenthesis around (7n)
2 * 7n + 6n = -16 + 3(6(n + 1) + -3n)

Multiply 2 * 7
14n + 6n = -16 + 3(6(n + 1) + -3n)

Combine like terms: 14n + 6n = 20n
20n = -16 + 3(6(n + 1) + -3n)

Reorder the terms:
20n = -16 + 3(6(1 + n) + -3n)
20n = -16 + 3((1 * 6 + n * 6) + -3n)
20n = -16 + 3((6 + 6n) + -3n)

Combine like terms: 6n + -3n = 3n
20n = -16 + 3(6 + 3n)
20n = -16 + (6 * 3 + 3n * 3)
20n = -16 + (18 + 9n)

Combine like terms: -16 + 18 = 2
20n = 2 + 9n

Solving
20n = 2 + 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.
20n + -9n = 2 + 9n + -9n

Combine like terms: 20n + -9n = 11n
11n = 2 + 9n + -9n

Combine like terms: 9n + -9n = 0
11n = 2 + 0
11n = 2

Divide each side by '11'.
n = 0.1818181818

Simplifying
n = 0.1818181818

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