5n-6+3n+4=9+6n+1

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Solution for 5n-6+3n+4=9+6n+1 equation:


Simplifying
5n + -6 + 3n + 4 = 9 + 6n + 1

Reorder the terms:
-6 + 4 + 5n + 3n = 9 + 6n + 1

Combine like terms: -6 + 4 = -2
-2 + 5n + 3n = 9 + 6n + 1

Combine like terms: 5n + 3n = 8n
-2 + 8n = 9 + 6n + 1

Reorder the terms:
-2 + 8n = 9 + 1 + 6n

Combine like terms: 9 + 1 = 10
-2 + 8n = 10 + 6n

Solving
-2 + 8n = 10 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-2 + 8n + -6n = 10 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-2 + 2n = 10 + 6n + -6n

Combine like terms: 6n + -6n = 0
-2 + 2n = 10 + 0
-2 + 2n = 10

Add '2' to each side of the equation.
-2 + 2 + 2n = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2n = 10 + 2
2n = 10 + 2

Combine like terms: 10 + 2 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6

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