3n-2=2(n-3)

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


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

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

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

Solving
-2 + 3n = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-2 + 3n + -2n = -6 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-2 + 1n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-2 + 1n = -6 + 0
-2 + 1n = -6

Add '2' to each side of the equation.
-2 + 2 + 1n = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = -6 + 2
1n = -6 + 2

Combine like terms: -6 + 2 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4

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