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

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


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

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

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

Solving
-6 + 3n = 12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + 3n + -6n = 12 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-6 + -3n = 12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + -3n = 12 + 0
-6 + -3n = 12

Add '6' to each side of the equation.
-6 + 6 + -3n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = 12 + 6
-3n = 12 + 6

Combine like terms: 12 + 6 = 18
-3n = 18

Divide each side by '-3'.
n = -6

Simplifying
n = -6

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