4n+9n+2+5n+6+8n-12=360

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Solution for 4n+9n+2+5n+6+8n-12=360 equation: 


Simplifying
4n + 9n + 2 + 5n + 6 + 8n + -12 = 360

Reorder the terms:
2 + 6 + -12 + 4n + 9n + 5n + 8n = 360

Combine like terms: 2 + 6 = 8
8 + -12 + 4n + 9n + 5n + 8n = 360

Combine like terms: 8 + -12 = -4
-4 + 4n + 9n + 5n + 8n = 360

Combine like terms: 4n + 9n = 13n
-4 + 13n + 5n + 8n = 360

Combine like terms: 13n + 5n = 18n
-4 + 18n + 8n = 360

Combine like terms: 18n + 8n = 26n
-4 + 26n = 360

Solving
-4 + 26n = 360

Solving for variable 'n'.

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

Add '4' to each side of the equation.
-4 + 4 + 26n = 360 + 4

Combine like terms: -4 + 4 = 0
0 + 26n = 360 + 4
26n = 360 + 4

Combine like terms: 360 + 4 = 364
26n = 364

Divide each side by '26'.
n = 14

Simplifying
n = 14

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