(5n+22)+(4n+32)=180

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Solution for (5n+22)+(4n+32)=180 equation:


Simplifying
(5n + 22) + (4n + 32) = 180

Reorder the terms:
(22 + 5n) + (4n + 32) = 180

Remove parenthesis around (22 + 5n)
22 + 5n + (4n + 32) = 180

Reorder the terms:
22 + 5n + (32 + 4n) = 180

Remove parenthesis around (32 + 4n)
22 + 5n + 32 + 4n = 180

Reorder the terms:
22 + 32 + 5n + 4n = 180

Combine like terms: 22 + 32 = 54
54 + 5n + 4n = 180

Combine like terms: 5n + 4n = 9n
54 + 9n = 180

Solving
54 + 9n = 180

Solving for variable 'n'.

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

Add '-54' to each side of the equation.
54 + -54 + 9n = 180 + -54

Combine like terms: 54 + -54 = 0
0 + 9n = 180 + -54
9n = 180 + -54

Combine like terms: 180 + -54 = 126
9n = 126

Divide each side by '9'.
n = 14

Simplifying
n = 14

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