9(2n-4)=(6n+3)+9

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Solution for 9(2n-4)=(6n+3)+9 equation:


Simplifying
9(2n + -4) = (6n + 3) + 9

Reorder the terms:
9(-4 + 2n) = (6n + 3) + 9
(-4 * 9 + 2n * 9) = (6n + 3) + 9
(-36 + 18n) = (6n + 3) + 9

Reorder the terms:
-36 + 18n = (3 + 6n) + 9

Remove parenthesis around (3 + 6n)
-36 + 18n = 3 + 6n + 9

Reorder the terms:
-36 + 18n = 3 + 9 + 6n

Combine like terms: 3 + 9 = 12
-36 + 18n = 12 + 6n

Solving
-36 + 18n = 12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-36 + 18n + -6n = 12 + 6n + -6n

Combine like terms: 18n + -6n = 12n
-36 + 12n = 12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-36 + 12n = 12 + 0
-36 + 12n = 12

Add '36' to each side of the equation.
-36 + 36 + 12n = 12 + 36

Combine like terms: -36 + 36 = 0
0 + 12n = 12 + 36
12n = 12 + 36

Combine like terms: 12 + 36 = 48
12n = 48

Divide each side by '12'.
n = 4

Simplifying
n = 4

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