8n-6=2n-5+n

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Solution for 8n-6=2n-5+n equation:


Simplifying
8n + -6 = 2n + -5 + n

Reorder the terms:
-6 + 8n = 2n + -5 + n

Reorder the terms:
-6 + 8n = -5 + 2n + n

Combine like terms: 2n + n = 3n
-6 + 8n = -5 + 3n

Solving
-6 + 8n = -5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 8n + -3n = -5 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-6 + 5n = -5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 5n = -5 + 0
-6 + 5n = -5

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

Combine like terms: -6 + 6 = 0
0 + 5n = -5 + 6
5n = -5 + 6

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

Divide each side by '5'.
n = 0.2

Simplifying
n = 0.2

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