3(n+4)=12(6n+4)

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Solution for 3(n+4)=12(6n+4) equation:


Simplifying
3(n + 4) = 12(6n + 4)

Reorder the terms:
3(4 + n) = 12(6n + 4)
(4 * 3 + n * 3) = 12(6n + 4)
(12 + 3n) = 12(6n + 4)

Reorder the terms:
12 + 3n = 12(4 + 6n)
12 + 3n = (4 * 12 + 6n * 12)
12 + 3n = (48 + 72n)

Solving
12 + 3n = 48 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
12 + 3n + -72n = 48 + 72n + -72n

Combine like terms: 3n + -72n = -69n
12 + -69n = 48 + 72n + -72n

Combine like terms: 72n + -72n = 0
12 + -69n = 48 + 0
12 + -69n = 48

Add '-12' to each side of the equation.
12 + -12 + -69n = 48 + -12

Combine like terms: 12 + -12 = 0
0 + -69n = 48 + -12
-69n = 48 + -12

Combine like terms: 48 + -12 = 36
-69n = 36

Divide each side by '-69'.
n = -0.5217391304

Simplifying
n = -0.5217391304

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