9n-2=3n+38

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Solution for 9n-2=3n+38 equation: 


Simplifying
9n + -2 = 3n + 38

Reorder the terms:
-2 + 9n = 3n + 38

Reorder the terms:
-2 + 9n = 38 + 3n

Solving
-2 + 9n = 38 + 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.
-2 + 9n + -3n = 38 + 3n + -3n

Combine like terms: 9n + -3n = 6n
-2 + 6n = 38 + 3n + -3n

Combine like terms: 3n + -3n = 0
-2 + 6n = 38 + 0
-2 + 6n = 38

Add '2' to each side of the equation.
-2 + 2 + 6n = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 6n = 38 + 2
6n = 38 + 2

Combine like terms: 38 + 2 = 40
6n = 40

Divide each side by '6'.
n = 6.666666667

Simplifying
n = 6.666666667

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