(3n+22)+(5n+38)=180

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Solution for (3n+22)+(5n+38)=180 equation: 


Simplifying
(3n + 22) + (5n + 38) = 180

Reorder the terms:
(22 + 3n) + (5n + 38) = 180

Remove parenthesis around (22 + 3n)
22 + 3n + (5n + 38) = 180

Reorder the terms:
22 + 3n + (38 + 5n) = 180

Remove parenthesis around (38 + 5n)
22 + 3n + 38 + 5n = 180

Reorder the terms:
22 + 38 + 3n + 5n = 180

Combine like terms: 22 + 38 = 60
60 + 3n + 5n = 180

Combine like terms: 3n + 5n = 8n
60 + 8n = 180

Solving
60 + 8n = 180

Solving for variable 'n'.

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

Add '-60' to each side of the equation.
60 + -60 + 8n = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 8n = 180 + -60
8n = 180 + -60

Combine like terms: 180 + -60 = 120
8n = 120

Divide each side by '8'.
n = 15

Simplifying
n = 15

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