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

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


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

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

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

Solving
-6 + 3n = -8 + 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 = -8 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-6 + -3n = -8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + -3n = -8 + 0
-6 + -3n = -8

Add '6' to each side of the equation.
-6 + 6 + -3n = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = -8 + 6
-3n = -8 + 6

Combine like terms: -8 + 6 = -2
-3n = -2

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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