6(8n+9)=12-(3n-5)+14n

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Solution for 6(8n+9)=12-(3n-5)+14n equation:


Simplifying
6(8n + 9) = 12 + -1(3n + -5) + 14n

Reorder the terms:
6(9 + 8n) = 12 + -1(3n + -5) + 14n
(9 * 6 + 8n * 6) = 12 + -1(3n + -5) + 14n
(54 + 48n) = 12 + -1(3n + -5) + 14n

Reorder the terms:
54 + 48n = 12 + -1(-5 + 3n) + 14n
54 + 48n = 12 + (-5 * -1 + 3n * -1) + 14n
54 + 48n = 12 + (5 + -3n) + 14n

Combine like terms: 12 + 5 = 17
54 + 48n = 17 + -3n + 14n

Combine like terms: -3n + 14n = 11n
54 + 48n = 17 + 11n

Solving
54 + 48n = 17 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
54 + 48n + -11n = 17 + 11n + -11n

Combine like terms: 48n + -11n = 37n
54 + 37n = 17 + 11n + -11n

Combine like terms: 11n + -11n = 0
54 + 37n = 17 + 0
54 + 37n = 17

Add '-54' to each side of the equation.
54 + -54 + 37n = 17 + -54

Combine like terms: 54 + -54 = 0
0 + 37n = 17 + -54
37n = 17 + -54

Combine like terms: 17 + -54 = -37
37n = -37

Divide each side by '37'.
n = -1

Simplifying
n = -1

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