6*n+21=4*n+57

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Solution for 6*n+21=4*n+57 equation: 


Simplifying
6n + 21 = 4n + 57

Reorder the terms:
21 + 6n = 4n + 57

Reorder the terms:
21 + 6n = 57 + 4n

Solving
21 + 6n = 57 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
21 + 6n + -4n = 57 + 4n + -4n

Combine like terms: 6n + -4n = 2n
21 + 2n = 57 + 4n + -4n

Combine like terms: 4n + -4n = 0
21 + 2n = 57 + 0
21 + 2n = 57

Add '-21' to each side of the equation.
21 + -21 + 2n = 57 + -21

Combine like terms: 21 + -21 = 0
0 + 2n = 57 + -21
2n = 57 + -21

Combine like terms: 57 + -21 = 36
2n = 36

Divide each side by '2'.
n = 18

Simplifying
n = 18

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