3(n-8)-11n=7(6-2n)+12

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Solution for 3(n-8)-11n=7(6-2n)+12 equation:


Simplifying
3(n + -8) + -11n = 7(6 + -2n) + 12

Reorder the terms:
3(-8 + n) + -11n = 7(6 + -2n) + 12
(-8 * 3 + n * 3) + -11n = 7(6 + -2n) + 12
(-24 + 3n) + -11n = 7(6 + -2n) + 12

Combine like terms: 3n + -11n = -8n
-24 + -8n = 7(6 + -2n) + 12
-24 + -8n = (6 * 7 + -2n * 7) + 12
-24 + -8n = (42 + -14n) + 12

Reorder the terms:
-24 + -8n = 42 + 12 + -14n

Combine like terms: 42 + 12 = 54
-24 + -8n = 54 + -14n

Solving
-24 + -8n = 54 + -14n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '14n' to each side of the equation.
-24 + -8n + 14n = 54 + -14n + 14n

Combine like terms: -8n + 14n = 6n
-24 + 6n = 54 + -14n + 14n

Combine like terms: -14n + 14n = 0
-24 + 6n = 54 + 0
-24 + 6n = 54

Add '24' to each side of the equation.
-24 + 24 + 6n = 54 + 24

Combine like terms: -24 + 24 = 0
0 + 6n = 54 + 24
6n = 54 + 24

Combine like terms: 54 + 24 = 78
6n = 78

Divide each side by '6'.
n = 13

Simplifying
n = 13

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