3(2n-4)=(3n+4)+7

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Solution for 3(2n-4)=(3n+4)+7 equation:


Simplifying
3(2n + -4) = (3n + 4) + 7

Reorder the terms:
3(-4 + 2n) = (3n + 4) + 7
(-4 * 3 + 2n * 3) = (3n + 4) + 7
(-12 + 6n) = (3n + 4) + 7

Reorder the terms:
-12 + 6n = (4 + 3n) + 7

Remove parenthesis around (4 + 3n)
-12 + 6n = 4 + 3n + 7

Reorder the terms:
-12 + 6n = 4 + 7 + 3n

Combine like terms: 4 + 7 = 11
-12 + 6n = 11 + 3n

Solving
-12 + 6n = 11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-12 + 6n + -3n = 11 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-12 + 3n = 11 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 3n = 11 + 0
-12 + 3n = 11

Add '12' to each side of the equation.
-12 + 12 + 3n = 11 + 12

Combine like terms: -12 + 12 = 0
0 + 3n = 11 + 12
3n = 11 + 12

Combine like terms: 11 + 12 = 23
3n = 23

Divide each side by '3'.
n = 7.666666667

Simplifying
n = 7.666666667

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