7n-19+8n-13+9n+40=272

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Solution for 7n-19+8n-13+9n+40=272 equation: 


Simplifying
7n + -19 + 8n + -13 + 9n + 40 = 272

Reorder the terms:
-19 + -13 + 40 + 7n + 8n + 9n = 272

Combine like terms: -19 + -13 = -32
-32 + 40 + 7n + 8n + 9n = 272

Combine like terms: -32 + 40 = 8
8 + 7n + 8n + 9n = 272

Combine like terms: 7n + 8n = 15n
8 + 15n + 9n = 272

Combine like terms: 15n + 9n = 24n
8 + 24n = 272

Solving
8 + 24n = 272

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 24n = 272 + -8

Combine like terms: 8 + -8 = 0
0 + 24n = 272 + -8
24n = 272 + -8

Combine like terms: 272 + -8 = 264
24n = 264

Divide each side by '24'.
n = 11

Simplifying
n = 11

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