3(5n+4)-n=54

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Solution for 3(5n+4)-n=54 equation:


Simplifying
3(5n + 4) + -1n = 54

Reorder the terms:
3(4 + 5n) + -1n = 54
(4 * 3 + 5n * 3) + -1n = 54
(12 + 15n) + -1n = 54

Combine like terms: 15n + -1n = 14n
12 + 14n = 54

Solving
12 + 14n = 54

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 14n = 54 + -12

Combine like terms: 12 + -12 = 0
0 + 14n = 54 + -12
14n = 54 + -12

Combine like terms: 54 + -12 = 42
14n = 42

Divide each side by '14'.
n = 3

Simplifying
n = 3

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