9n-6=3n+7

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Solution for 9n-6=3n+7 equation:


Simplifying
9n + -6 = 3n + 7

Reorder the terms:
-6 + 9n = 3n + 7

Reorder the terms:
-6 + 9n = 7 + 3n

Solving
-6 + 9n = 7 + 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.
-6 + 9n + -3n = 7 + 3n + -3n

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

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

Add '6' to each side of the equation.
-6 + 6 + 6n = 7 + 6

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

Combine like terms: 7 + 6 = 13
6n = 13

Divide each side by '6'.
n = 2.166666667

Simplifying
n = 2.166666667

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