4n-8=14n+12

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Solution for 4n-8=14n+12 equation:


Simplifying
4n + -8 = 14n + 12

Reorder the terms:
-8 + 4n = 14n + 12

Reorder the terms:
-8 + 4n = 12 + 14n

Solving
-8 + 4n = 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.
-8 + 4n + -14n = 12 + 14n + -14n

Combine like terms: 4n + -14n = -10n
-8 + -10n = 12 + 14n + -14n

Combine like terms: 14n + -14n = 0
-8 + -10n = 12 + 0
-8 + -10n = 12

Add '8' to each side of the equation.
-8 + 8 + -10n = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -10n = 12 + 8
-10n = 12 + 8

Combine like terms: 12 + 8 = 20
-10n = 20

Divide each side by '-10'.
n = -2

Simplifying
n = -2

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