(2n+21)+(4n+33)=180

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Solution for (2n+21)+(4n+33)=180 equation:


Simplifying
(2n + 21) + (4n + 33) = 180

Reorder the terms:
(21 + 2n) + (4n + 33) = 180

Remove parenthesis around (21 + 2n)
21 + 2n + (4n + 33) = 180

Reorder the terms:
21 + 2n + (33 + 4n) = 180

Remove parenthesis around (33 + 4n)
21 + 2n + 33 + 4n = 180

Reorder the terms:
21 + 33 + 2n + 4n = 180

Combine like terms: 21 + 33 = 54
54 + 2n + 4n = 180

Combine like terms: 2n + 4n = 6n
54 + 6n = 180

Solving
54 + 6n = 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 + 6n = 180 + -54

Combine like terms: 54 + -54 = 0
0 + 6n = 180 + -54
6n = 180 + -54

Combine like terms: 180 + -54 = 126
6n = 126

Divide each side by '6'.
n = 21

Simplifying
n = 21

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