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

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


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

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

Reorder the terms:
-36 + 18n = (4 + 9n) + 9

Remove parenthesis around (4 + 9n)
-36 + 18n = 4 + 9n + 9

Reorder the terms:
-36 + 18n = 4 + 9 + 9n

Combine like terms: 4 + 9 = 13
-36 + 18n = 13 + 9n

Solving
-36 + 18n = 13 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-36 + 18n + -9n = 13 + 9n + -9n

Combine like terms: 18n + -9n = 9n
-36 + 9n = 13 + 9n + -9n

Combine like terms: 9n + -9n = 0
-36 + 9n = 13 + 0
-36 + 9n = 13

Add '36' to each side of the equation.
-36 + 36 + 9n = 13 + 36

Combine like terms: -36 + 36 = 0
0 + 9n = 13 + 36
9n = 13 + 36

Combine like terms: 13 + 36 = 49
9n = 49

Divide each side by '9'.
n = 5.444444444

Simplifying
n = 5.444444444

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