2n-9=8n+19

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Solution for 2n-9=8n+19 equation:


Simplifying
2n + -9 = 8n + 19

Reorder the terms:
-9 + 2n = 8n + 19

Reorder the terms:
-9 + 2n = 19 + 8n

Solving
-9 + 2n = 19 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-9 + 2n + -8n = 19 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-9 + -6n = 19 + 8n + -8n

Combine like terms: 8n + -8n = 0
-9 + -6n = 19 + 0
-9 + -6n = 19

Add '9' to each side of the equation.
-9 + 9 + -6n = 19 + 9

Combine like terms: -9 + 9 = 0
0 + -6n = 19 + 9
-6n = 19 + 9

Combine like terms: 19 + 9 = 28
-6n = 28

Divide each side by '-6'.
n = -4.666666667

Simplifying
n = -4.666666667

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