7n-9=5n+7

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


Simplifying
7n + -9 = 5n + 7

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

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

Solving
-9 + 7n = 7 + 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.
-9 + 7n + -5n = 7 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-9 + 2n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
-9 + 2n = 7 + 0
-9 + 2n = 7

Add '9' to each side of the equation.
-9 + 9 + 2n = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 2n = 7 + 9
2n = 7 + 9

Combine like terms: 7 + 9 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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