(2n+19)+(4n+17)=180

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Solution for (2n+19)+(4n+17)=180 equation:


Simplifying
(2n + 19) + (4n + 17) = 180

Reorder the terms:
(19 + 2n) + (4n + 17) = 180

Remove parenthesis around (19 + 2n)
19 + 2n + (4n + 17) = 180

Reorder the terms:
19 + 2n + (17 + 4n) = 180

Remove parenthesis around (17 + 4n)
19 + 2n + 17 + 4n = 180

Reorder the terms:
19 + 17 + 2n + 4n = 180

Combine like terms: 19 + 17 = 36
36 + 2n + 4n = 180

Combine like terms: 2n + 4n = 6n
36 + 6n = 180

Solving
36 + 6n = 180

Solving for variable 'n'.

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

Add '-36' to each side of the equation.
36 + -36 + 6n = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 6n = 180 + -36
6n = 180 + -36

Combine like terms: 180 + -36 = 144
6n = 144

Divide each side by '6'.
n = 24

Simplifying
n = 24

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