-9(-11n+8)-5n=6(2n-12)

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Solution for -9(-11n+8)-5n=6(2n-12) equation:


Simplifying
-9(-11n + 8) + -5n = 6(2n + -12)

Reorder the terms:
-9(8 + -11n) + -5n = 6(2n + -12)
(8 * -9 + -11n * -9) + -5n = 6(2n + -12)
(-72 + 99n) + -5n = 6(2n + -12)

Combine like terms: 99n + -5n = 94n
-72 + 94n = 6(2n + -12)

Reorder the terms:
-72 + 94n = 6(-12 + 2n)
-72 + 94n = (-12 * 6 + 2n * 6)
-72 + 94n = (-72 + 12n)

Add '72' to each side of the equation.
-72 + 72 + 94n = -72 + 72 + 12n

Combine like terms: -72 + 72 = 0
0 + 94n = -72 + 72 + 12n
94n = -72 + 72 + 12n

Combine like terms: -72 + 72 = 0
94n = 0 + 12n
94n = 12n

Solving
94n = 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.
94n + -12n = 12n + -12n

Combine like terms: 94n + -12n = 82n
82n = 12n + -12n

Combine like terms: 12n + -12n = 0
82n = 0

Divide each side by '82'.
n = 0

Simplifying
n = 0

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