3(n-20)=2(3n-4)

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Solution for 3(n-20)=2(3n-4) equation: 


Simplifying
3(n + -20) = 2(3n + -4)

Reorder the terms:
3(-20 + n) = 2(3n + -4)
(-20 * 3 + n * 3) = 2(3n + -4)
(-60 + 3n) = 2(3n + -4)

Reorder the terms:
-60 + 3n = 2(-4 + 3n)
-60 + 3n = (-4 * 2 + 3n * 2)
-60 + 3n = (-8 + 6n)

Solving
-60 + 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.
-60 + 3n + -6n = -8 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-60 + -3n = -8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-60 + -3n = -8 + 0
-60 + -3n = -8

Add '60' to each side of the equation.
-60 + 60 + -3n = -8 + 60

Combine like terms: -60 + 60 = 0
0 + -3n = -8 + 60
-3n = -8 + 60

Combine like terms: -8 + 60 = 52
-3n = 52

Divide each side by '-3'.
n = -17.33333333

Simplifying
n = -17.33333333

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