9(2n+4)=9(4n+6)+1

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Solution for 9(2n+4)=9(4n+6)+1 equation: 


Simplifying
9(2n + 4) = 9(4n + 6) + 1

Reorder the terms:
9(4 + 2n) = 9(4n + 6) + 1
(4 * 9 + 2n * 9) = 9(4n + 6) + 1
(36 + 18n) = 9(4n + 6) + 1

Reorder the terms:
36 + 18n = 9(6 + 4n) + 1
36 + 18n = (6 * 9 + 4n * 9) + 1
36 + 18n = (54 + 36n) + 1

Reorder the terms:
36 + 18n = 54 + 1 + 36n

Combine like terms: 54 + 1 = 55
36 + 18n = 55 + 36n

Solving
36 + 18n = 55 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
36 + 18n + -36n = 55 + 36n + -36n

Combine like terms: 18n + -36n = -18n
36 + -18n = 55 + 36n + -36n

Combine like terms: 36n + -36n = 0
36 + -18n = 55 + 0
36 + -18n = 55

Add '-36' to each side of the equation.
36 + -36 + -18n = 55 + -36

Combine like terms: 36 + -36 = 0
0 + -18n = 55 + -36
-18n = 55 + -36

Combine like terms: 55 + -36 = 19
-18n = 19

Divide each side by '-18'.
n = -1.055555556

Simplifying
n = -1.055555556

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