2n+9=8n+27

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Solution for 2n+9=8n+27 equation: 


Simplifying
2n + 9 = 8n + 27

Reorder the terms:
9 + 2n = 8n + 27

Reorder the terms:
9 + 2n = 27 + 8n

Solving
9 + 2n = 27 + 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 = 27 + 8n + -8n

Combine like terms: 2n + -8n = -6n
9 + -6n = 27 + 8n + -8n

Combine like terms: 8n + -8n = 0
9 + -6n = 27 + 0
9 + -6n = 27

Add '-9' to each side of the equation.
9 + -9 + -6n = 27 + -9

Combine like terms: 9 + -9 = 0
0 + -6n = 27 + -9
-6n = 27 + -9

Combine like terms: 27 + -9 = 18
-6n = 18

Divide each side by '-6'.
n = -3

Simplifying
n = -3

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