3n+9=11n-23

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Solution for 3n+9=11n-23 equation:


Simplifying
3n + 9 = 11n + -23

Reorder the terms:
9 + 3n = 11n + -23

Reorder the terms:
9 + 3n = -23 + 11n

Solving
9 + 3n = -23 + 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.
9 + 3n + -11n = -23 + 11n + -11n

Combine like terms: 3n + -11n = -8n
9 + -8n = -23 + 11n + -11n

Combine like terms: 11n + -11n = 0
9 + -8n = -23 + 0
9 + -8n = -23

Add '-9' to each side of the equation.
9 + -9 + -8n = -23 + -9

Combine like terms: 9 + -9 = 0
0 + -8n = -23 + -9
-8n = -23 + -9

Combine like terms: -23 + -9 = -32
-8n = -32

Divide each side by '-8'.
n = 4

Simplifying
n = 4

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