3(8n-6)=12n+6(5-2n)

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Solution for 3(8n-6)=12n+6(5-2n) equation:


Simplifying
3(8n + -6) = 12n + 6(5 + -2n)

Reorder the terms:
3(-6 + 8n) = 12n + 6(5 + -2n)
(-6 * 3 + 8n * 3) = 12n + 6(5 + -2n)
(-18 + 24n) = 12n + 6(5 + -2n)
-18 + 24n = 12n + (5 * 6 + -2n * 6)
-18 + 24n = 12n + (30 + -12n)

Reorder the terms:
-18 + 24n = 30 + 12n + -12n

Combine like terms: 12n + -12n = 0
-18 + 24n = 30 + 0
-18 + 24n = 30

Solving
-18 + 24n = 30

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 24n = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 24n = 30 + 18
24n = 30 + 18

Combine like terms: 30 + 18 = 48
24n = 48

Divide each side by '24'.
n = 2

Simplifying
n = 2

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