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

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


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

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

Reorder the terms:
2 + 3n = 4(-4 + 3n)
2 + 3n = (-4 * 4 + 3n * 4)
2 + 3n = (-16 + 12n)

Solving
2 + 3n = -16 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
2 + 3n + -12n = -16 + 12n + -12n

Combine like terms: 3n + -12n = -9n
2 + -9n = -16 + 12n + -12n

Combine like terms: 12n + -12n = 0
2 + -9n = -16 + 0
2 + -9n = -16

Add '-2' to each side of the equation.
2 + -2 + -9n = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -9n = -16 + -2
-9n = -16 + -2

Combine like terms: -16 + -2 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

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