6n-2=-9+n+4n

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Solution for 6n-2=-9+n+4n equation:


Simplifying
6n + -2 = -9 + n + 4n

Reorder the terms:
-2 + 6n = -9 + n + 4n

Combine like terms: n + 4n = 5n
-2 + 6n = -9 + 5n

Solving
-2 + 6n = -9 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-2 + 6n + -5n = -9 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-2 + 1n = -9 + 5n + -5n

Combine like terms: 5n + -5n = 0
-2 + 1n = -9 + 0
-2 + 1n = -9

Add '2' to each side of the equation.
-2 + 2 + 1n = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = -9 + 2
1n = -9 + 2

Combine like terms: -9 + 2 = -7
1n = -7

Divide each side by '1'.
n = -7

Simplifying
n = -7

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