9(2n+4)=9(9n+2)+5

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Solution for 9(2n+4)=9(9n+2)+5 equation: 


Simplifying
9(2n + 4) = 9(9n + 2) + 5

Reorder the terms:
9(4 + 2n) = 9(9n + 2) + 5
(4 * 9 + 2n * 9) = 9(9n + 2) + 5
(36 + 18n) = 9(9n + 2) + 5

Reorder the terms:
36 + 18n = 9(2 + 9n) + 5
36 + 18n = (2 * 9 + 9n * 9) + 5
36 + 18n = (18 + 81n) + 5

Reorder the terms:
36 + 18n = 18 + 5 + 81n

Combine like terms: 18 + 5 = 23
36 + 18n = 23 + 81n

Solving
36 + 18n = 23 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
36 + 18n + -81n = 23 + 81n + -81n

Combine like terms: 18n + -81n = -63n
36 + -63n = 23 + 81n + -81n

Combine like terms: 81n + -81n = 0
36 + -63n = 23 + 0
36 + -63n = 23

Add '-36' to each side of the equation.
36 + -36 + -63n = 23 + -36

Combine like terms: 36 + -36 = 0
0 + -63n = 23 + -36
-63n = 23 + -36

Combine like terms: 23 + -36 = -13
-63n = -13

Divide each side by '-63'.
n = 0.2063492063

Simplifying
n = 0.2063492063

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