(5n+24)+(2n+16)=180

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Solution for (5n+24)+(2n+16)=180 equation: 


Simplifying
(5n + 24) + (2n + 16) = 180

Reorder the terms:
(24 + 5n) + (2n + 16) = 180

Remove parenthesis around (24 + 5n)
24 + 5n + (2n + 16) = 180

Reorder the terms:
24 + 5n + (16 + 2n) = 180

Remove parenthesis around (16 + 2n)
24 + 5n + 16 + 2n = 180

Reorder the terms:
24 + 16 + 5n + 2n = 180

Combine like terms: 24 + 16 = 40
40 + 5n + 2n = 180

Combine like terms: 5n + 2n = 7n
40 + 7n = 180

Solving
40 + 7n = 180

Solving for variable 'n'.

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

Add '-40' to each side of the equation.
40 + -40 + 7n = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 7n = 180 + -40
7n = 180 + -40

Combine like terms: 180 + -40 = 140
7n = 140

Divide each side by '7'.
n = 20

Simplifying
n = 20

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