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

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


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

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

Reorder the terms:
-4 + 2n = 3(-2 + 3n)
-4 + 2n = (-2 * 3 + 3n * 3)
-4 + 2n = (-6 + 9n)

Solving
-4 + 2n = -6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-4 + 2n + -9n = -6 + 9n + -9n

Combine like terms: 2n + -9n = -7n
-4 + -7n = -6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-4 + -7n = -6 + 0
-4 + -7n = -6

Add '4' to each side of the equation.
-4 + 4 + -7n = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -7n = -6 + 4
-7n = -6 + 4

Combine like terms: -6 + 4 = -2
-7n = -2

Divide each side by '-7'.
n = 0.2857142857

Simplifying
n = 0.2857142857

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