-6n-6=3(4n-2)+n

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Solution for -6n-6=3(4n-2)+n equation:


Simplifying
-6n + -6 = 3(4n + -2) + n

Reorder the terms:
-6 + -6n = 3(4n + -2) + n

Reorder the terms:
-6 + -6n = 3(-2 + 4n) + n
-6 + -6n = (-2 * 3 + 4n * 3) + n
-6 + -6n = (-6 + 12n) + n

Combine like terms: 12n + n = 13n
-6 + -6n = -6 + 13n

Add '6' to each side of the equation.
-6 + 6 + -6n = -6 + 6 + 13n

Combine like terms: -6 + 6 = 0
0 + -6n = -6 + 6 + 13n
-6n = -6 + 6 + 13n

Combine like terms: -6 + 6 = 0
-6n = 0 + 13n
-6n = 13n

Solving
-6n = 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-6n + -13n = 13n + -13n

Combine like terms: -6n + -13n = -19n
-19n = 13n + -13n

Combine like terms: 13n + -13n = 0
-19n = 0

Divide each side by '-19'.
n = 0

Simplifying
n = 0

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