(2n+21)+(4n+15)=180

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Solution for (2n+21)+(4n+15)=180 equation:


Simplifying
(2n + 21) + (4n + 15) = 180

Reorder the terms:
(21 + 2n) + (4n + 15) = 180

Remove parenthesis around (21 + 2n)
21 + 2n + (4n + 15) = 180

Reorder the terms:
21 + 2n + (15 + 4n) = 180

Remove parenthesis around (15 + 4n)
21 + 2n + 15 + 4n = 180

Reorder the terms:
21 + 15 + 2n + 4n = 180

Combine like terms: 21 + 15 = 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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