10n-14=6n+6

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Solution for 10n-14=6n+6 equation:


Simplifying
10n + -14 = 6n + 6

Reorder the terms:
-14 + 10n = 6n + 6

Reorder the terms:
-14 + 10n = 6 + 6n

Solving
-14 + 10n = 6 + 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.
-14 + 10n + -6n = 6 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-14 + 4n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
-14 + 4n = 6 + 0
-14 + 4n = 6

Add '14' to each side of the equation.
-14 + 14 + 4n = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4n = 6 + 14
4n = 6 + 14

Combine like terms: 6 + 14 = 20
4n = 20

Divide each side by '4'.
n = 5

Simplifying
n = 5

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