6n+4=8n-2+n

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Solution for 6n+4=8n-2+n equation:


Simplifying
6n + 4 = 8n + -2 + n

Reorder the terms:
4 + 6n = 8n + -2 + n

Reorder the terms:
4 + 6n = -2 + 8n + n

Combine like terms: 8n + n = 9n
4 + 6n = -2 + 9n

Solving
4 + 6n = -2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
4 + 6n + -9n = -2 + 9n + -9n

Combine like terms: 6n + -9n = -3n
4 + -3n = -2 + 9n + -9n

Combine like terms: 9n + -9n = 0
4 + -3n = -2 + 0
4 + -3n = -2

Add '-4' to each side of the equation.
4 + -4 + -3n = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -3n = -2 + -4
-3n = -2 + -4

Combine like terms: -2 + -4 = -6
-3n = -6

Divide each side by '-3'.
n = 2

Simplifying
n = 2

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