19+7n-5+6n=8n+7+3n-19

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Solution for 19+7n-5+6n=8n+7+3n-19 equation: 


Simplifying
19 + 7n + -5 + 6n = 8n + 7 + 3n + -19

Reorder the terms:
19 + -5 + 7n + 6n = 8n + 7 + 3n + -19

Combine like terms: 19 + -5 = 14
14 + 7n + 6n = 8n + 7 + 3n + -19

Combine like terms: 7n + 6n = 13n
14 + 13n = 8n + 7 + 3n + -19

Reorder the terms:
14 + 13n = 7 + -19 + 8n + 3n

Combine like terms: 7 + -19 = -12
14 + 13n = -12 + 8n + 3n

Combine like terms: 8n + 3n = 11n
14 + 13n = -12 + 11n

Solving
14 + 13n = -12 + 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.
14 + 13n + -11n = -12 + 11n + -11n

Combine like terms: 13n + -11n = 2n
14 + 2n = -12 + 11n + -11n

Combine like terms: 11n + -11n = 0
14 + 2n = -12 + 0
14 + 2n = -12

Add '-14' to each side of the equation.
14 + -14 + 2n = -12 + -14

Combine like terms: 14 + -14 = 0
0 + 2n = -12 + -14
2n = -12 + -14

Combine like terms: -12 + -14 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13

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