3(2n-3)=(2n+4)+8

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Solution for 3(2n-3)=(2n+4)+8 equation:


Simplifying
3(2n + -3) = (2n + 4) + 8

Reorder the terms:
3(-3 + 2n) = (2n + 4) + 8
(-3 * 3 + 2n * 3) = (2n + 4) + 8
(-9 + 6n) = (2n + 4) + 8

Reorder the terms:
-9 + 6n = (4 + 2n) + 8

Remove parenthesis around (4 + 2n)
-9 + 6n = 4 + 2n + 8

Reorder the terms:
-9 + 6n = 4 + 8 + 2n

Combine like terms: 4 + 8 = 12
-9 + 6n = 12 + 2n

Solving
-9 + 6n = 12 + 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.
-9 + 6n + -2n = 12 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-9 + 4n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-9 + 4n = 12 + 0
-9 + 4n = 12

Add '9' to each side of the equation.
-9 + 9 + 4n = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 4n = 12 + 9
4n = 12 + 9

Combine like terms: 12 + 9 = 21
4n = 21

Divide each side by '4'.
n = 5.25

Simplifying
n = 5.25

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