0.5(12n-4)=14-10n

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Solution for 0.5(12n-4)=14-10n equation:


Simplifying
0.5(12n + -4) = 14 + -10n

Reorder the terms:
0.5(-4 + 12n) = 14 + -10n
(-4 * 0.5 + 12n * 0.5) = 14 + -10n
(-2 + 6n) = 14 + -10n

Solving
-2 + 6n = 14 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
-2 + 6n + 10n = 14 + -10n + 10n

Combine like terms: 6n + 10n = 16n
-2 + 16n = 14 + -10n + 10n

Combine like terms: -10n + 10n = 0
-2 + 16n = 14 + 0
-2 + 16n = 14

Add '2' to each side of the equation.
-2 + 2 + 16n = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 16n = 14 + 2
16n = 14 + 2

Combine like terms: 14 + 2 = 16
16n = 16

Divide each side by '16'.
n = 1

Simplifying
n = 1

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