10n+12=14n-12

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Solution for 10n+12=14n-12 equation:


Simplifying
10n + 12 = 14n + -12

Reorder the terms:
12 + 10n = 14n + -12

Reorder the terms:
12 + 10n = -12 + 14n

Solving
12 + 10n = -12 + 14n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-14n' to each side of the equation.
12 + 10n + -14n = -12 + 14n + -14n

Combine like terms: 10n + -14n = -4n
12 + -4n = -12 + 14n + -14n

Combine like terms: 14n + -14n = 0
12 + -4n = -12 + 0
12 + -4n = -12

Add '-12' to each side of the equation.
12 + -12 + -4n = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -4n = -12 + -12
-4n = -12 + -12

Combine like terms: -12 + -12 = -24
-4n = -24

Divide each side by '-4'.
n = 6

Simplifying
n = 6

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