6+(9n-1)=3(-3n-4)-6

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


Simplifying
6 + (9n + -1) = 3(-3n + -4) + -6

Reorder the terms:
6 + (-1 + 9n) = 3(-3n + -4) + -6

Remove parenthesis around (-1 + 9n)
6 + -1 + 9n = 3(-3n + -4) + -6

Combine like terms: 6 + -1 = 5
5 + 9n = 3(-3n + -4) + -6

Reorder the terms:
5 + 9n = 3(-4 + -3n) + -6
5 + 9n = (-4 * 3 + -3n * 3) + -6
5 + 9n = (-12 + -9n) + -6

Reorder the terms:
5 + 9n = -12 + -6 + -9n

Combine like terms: -12 + -6 = -18
5 + 9n = -18 + -9n

Solving
5 + 9n = -18 + -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.
5 + 9n + 9n = -18 + -9n + 9n

Combine like terms: 9n + 9n = 18n
5 + 18n = -18 + -9n + 9n

Combine like terms: -9n + 9n = 0
5 + 18n = -18 + 0
5 + 18n = -18

Add '-5' to each side of the equation.
5 + -5 + 18n = -18 + -5

Combine like terms: 5 + -5 = 0
0 + 18n = -18 + -5
18n = -18 + -5

Combine like terms: -18 + -5 = -23
18n = -23

Divide each side by '18'.
n = -1.277777778

Simplifying
n = -1.277777778

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