5(12n-4)=14-10n

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Solution for 5(12n-4)=14-10n equation:


Simplifying
5(12n + -4) = 14 + -10n

Reorder the terms:
5(-4 + 12n) = 14 + -10n
(-4 * 5 + 12n * 5) = 14 + -10n
(-20 + 60n) = 14 + -10n

Solving
-20 + 60n = 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.
-20 + 60n + 10n = 14 + -10n + 10n

Combine like terms: 60n + 10n = 70n
-20 + 70n = 14 + -10n + 10n

Combine like terms: -10n + 10n = 0
-20 + 70n = 14 + 0
-20 + 70n = 14

Add '20' to each side of the equation.
-20 + 20 + 70n = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 70n = 14 + 20
70n = 14 + 20

Combine like terms: 14 + 20 = 34
70n = 34

Divide each side by '70'.
n = 0.4857142857

Simplifying
n = 0.4857142857

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