6n-6+2n=8+5n+1

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Solution for 6n-6+2n=8+5n+1 equation:


Simplifying
6n + -6 + 2n = 8 + 5n + 1

Reorder the terms:
-6 + 6n + 2n = 8 + 5n + 1

Combine like terms: 6n + 2n = 8n
-6 + 8n = 8 + 5n + 1

Reorder the terms:
-6 + 8n = 8 + 1 + 5n

Combine like terms: 8 + 1 = 9
-6 + 8n = 9 + 5n

Solving
-6 + 8n = 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.
-6 + 8n + -5n = 9 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-6 + 3n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 3n = 9 + 0
-6 + 3n = 9

Add '6' to each side of the equation.
-6 + 6 + 3n = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 9 + 6
3n = 9 + 6

Combine like terms: 9 + 6 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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