9n-7=5n+n+27

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Solution for 9n-7=5n+n+27 equation:


Simplifying
9n + -7 = 5n + n + 27

Reorder the terms:
-7 + 9n = 5n + n + 27

Reorder the terms:
-7 + 9n = 27 + 5n + n

Combine like terms: 5n + n = 6n
-7 + 9n = 27 + 6n

Solving
-7 + 9n = 27 + 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.
-7 + 9n + -6n = 27 + 6n + -6n

Combine like terms: 9n + -6n = 3n
-7 + 3n = 27 + 6n + -6n

Combine like terms: 6n + -6n = 0
-7 + 3n = 27 + 0
-7 + 3n = 27

Add '7' to each side of the equation.
-7 + 7 + 3n = 27 + 7

Combine like terms: -7 + 7 = 0
0 + 3n = 27 + 7
3n = 27 + 7

Combine like terms: 27 + 7 = 34
3n = 34

Divide each side by '3'.
n = 11.33333333

Simplifying
n = 11.33333333

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