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

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


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

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

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

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

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

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

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

Combine like terms: 2n + 5n = 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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