6(2n-5)=3(n-2)

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


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

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

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

Solving
-30 + 12n = -6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-30 + 12n + -3n = -6 + 3n + -3n

Combine like terms: 12n + -3n = 9n
-30 + 9n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-30 + 9n = -6 + 0
-30 + 9n = -6

Add '30' to each side of the equation.
-30 + 30 + 9n = -6 + 30

Combine like terms: -30 + 30 = 0
0 + 9n = -6 + 30
9n = -6 + 30

Combine like terms: -6 + 30 = 24
9n = 24

Divide each side by '9'.
n = 2.666666667

Simplifying
n = 2.666666667

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