(3n-6)+n=42

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Solution for (3n-6)+n=42 equation:


Simplifying
(3n + -6) + n = 42

Reorder the terms:
(-6 + 3n) + n = 42

Remove parenthesis around (-6 + 3n)
-6 + 3n + n = 42

Combine like terms: 3n + n = 4n
-6 + 4n = 42

Solving
-6 + 4n = 42

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 4n = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 42 + 6
4n = 42 + 6

Combine like terms: 42 + 6 = 48
4n = 48

Divide each side by '4'.
n = 12

Simplifying
n = 12

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