2n-6=8n+14

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Solution for 2n-6=8n+14 equation:


Simplifying
2n + -6 = 8n + 14

Reorder the terms:
-6 + 2n = 8n + 14

Reorder the terms:
-6 + 2n = 14 + 8n

Solving
-6 + 2n = 14 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-6 + 2n + -8n = 14 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-6 + -6n = 14 + 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + -6n = 14 + 0
-6 + -6n = 14

Add '6' to each side of the equation.
-6 + 6 + -6n = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -6n = 14 + 6
-6n = 14 + 6

Combine like terms: 14 + 6 = 20
-6n = 20

Divide each side by '-6'.
n = -3.333333333

Simplifying
n = -3.333333333

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