7n-10=5n+6

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Solution for 7n-10=5n+6 equation:


Simplifying
7n + -10 = 5n + 6

Reorder the terms:
-10 + 7n = 5n + 6

Reorder the terms:
-10 + 7n = 6 + 5n

Solving
-10 + 7n = 6 + 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.
-10 + 7n + -5n = 6 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-10 + 2n = 6 + 5n + -5n

Combine like terms: 5n + -5n = 0
-10 + 2n = 6 + 0
-10 + 2n = 6

Add '10' to each side of the equation.
-10 + 10 + 2n = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = 6 + 10
2n = 6 + 10

Combine like terms: 6 + 10 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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