12n+8n=11(n+6)+3(12n+5)

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Solution for 12n+8n=11(n+6)+3(12n+5) equation:


Simplifying
12n + 8n = 11(n + 6) + 3(12n + 5)

Combine like terms: 12n + 8n = 20n
20n = 11(n + 6) + 3(12n + 5)

Reorder the terms:
20n = 11(6 + n) + 3(12n + 5)
20n = (6 * 11 + n * 11) + 3(12n + 5)
20n = (66 + 11n) + 3(12n + 5)

Reorder the terms:
20n = 66 + 11n + 3(5 + 12n)
20n = 66 + 11n + (5 * 3 + 12n * 3)
20n = 66 + 11n + (15 + 36n)

Reorder the terms:
20n = 66 + 15 + 11n + 36n

Combine like terms: 66 + 15 = 81
20n = 81 + 11n + 36n

Combine like terms: 11n + 36n = 47n
20n = 81 + 47n

Solving
20n = 81 + 47n

Solving for variable 'n'.

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

Add '-47n' to each side of the equation.
20n + -47n = 81 + 47n + -47n

Combine like terms: 20n + -47n = -27n
-27n = 81 + 47n + -47n

Combine like terms: 47n + -47n = 0
-27n = 81 + 0
-27n = 81

Divide each side by '-27'.
n = -3

Simplifying
n = -3

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