7n-5+n=5n+7

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


Simplifying
7n + -5 + n = 5n + 7

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

Combine like terms: 7n + n = 8n
-5 + 8n = 5n + 7

Reorder the terms:
-5 + 8n = 7 + 5n

Solving
-5 + 8n = 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.
-5 + 8n + -5n = 7 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-5 + 3n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5 + 3n = 7 + 0
-5 + 3n = 7

Add '5' to each side of the equation.
-5 + 5 + 3n = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 7 + 5
3n = 7 + 5

Combine like terms: 7 + 5 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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