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

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


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

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

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

Remove parenthesis around (4 + 2n)
-8 + 6n = 4 + 2n + 2

Reorder the terms:
-8 + 6n = 4 + 2 + 2n

Combine like terms: 4 + 2 = 6
-8 + 6n = 6 + 2n

Solving
-8 + 6n = 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.
-8 + 6n + -2n = 6 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-8 + 4n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 4n = 6 + 0
-8 + 4n = 6

Add '8' to each side of the equation.
-8 + 8 + 4n = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 4n = 6 + 8
4n = 6 + 8

Combine like terms: 6 + 8 = 14
4n = 14

Divide each side by '4'.
n = 3.5

Simplifying
n = 3.5

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