6n+31=9n+13

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Solution for 6n+31=9n+13 equation: 


Simplifying
6n + 31 = 9n + 13

Reorder the terms:
31 + 6n = 9n + 13

Reorder the terms:
31 + 6n = 13 + 9n

Solving
31 + 6n = 13 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
31 + 6n + -9n = 13 + 9n + -9n

Combine like terms: 6n + -9n = -3n
31 + -3n = 13 + 9n + -9n

Combine like terms: 9n + -9n = 0
31 + -3n = 13 + 0
31 + -3n = 13

Add '-31' to each side of the equation.
31 + -31 + -3n = 13 + -31

Combine like terms: 31 + -31 = 0
0 + -3n = 13 + -31
-3n = 13 + -31

Combine like terms: 13 + -31 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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