6(2n-3)=2(4n+3)

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Solution for 6(2n-3)=2(4n+3) equation:


Simplifying
6(2n + -3) = 2(4n + 3)

Reorder the terms:
6(-3 + 2n) = 2(4n + 3)
(-3 * 6 + 2n * 6) = 2(4n + 3)
(-18 + 12n) = 2(4n + 3)

Reorder the terms:
-18 + 12n = 2(3 + 4n)
-18 + 12n = (3 * 2 + 4n * 2)
-18 + 12n = (6 + 8n)

Solving
-18 + 12n = 6 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-18 + 12n + -8n = 6 + 8n + -8n

Combine like terms: 12n + -8n = 4n
-18 + 4n = 6 + 8n + -8n

Combine like terms: 8n + -8n = 0
-18 + 4n = 6 + 0
-18 + 4n = 6

Add '18' to each side of the equation.
-18 + 18 + 4n = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 4n = 6 + 18
4n = 6 + 18

Combine like terms: 6 + 18 = 24
4n = 24

Divide each side by '4'.
n = 6

Simplifying
n = 6

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