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

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


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

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

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

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

Reorder the terms:
-2 + 9n = 9 + 1 + 5n

Combine like terms: 9 + 1 = 10
-2 + 9n = 10 + 5n

Solving
-2 + 9n = 10 + 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.
-2 + 9n + -5n = 10 + 5n + -5n

Combine like terms: 9n + -5n = 4n
-2 + 4n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-2 + 4n = 10 + 0
-2 + 4n = 10

Add '2' to each side of the equation.
-2 + 2 + 4n = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = 10 + 2
4n = 10 + 2

Combine like terms: 10 + 2 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3

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