3(2n+7)-4n=57

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Solution for 3(2n+7)-4n=57 equation:


Simplifying
3(2n + 7) + -4n = 57

Reorder the terms:
3(7 + 2n) + -4n = 57
(7 * 3 + 2n * 3) + -4n = 57
(21 + 6n) + -4n = 57

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

Solving
21 + 2n = 57

Solving for variable 'n'.

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

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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