9(2n+4)=8(9n+5)+7

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Solution for 9(2n+4)=8(9n+5)+7 equation: 


Simplifying
9(2n + 4) = 8(9n + 5) + 7

Reorder the terms:
9(4 + 2n) = 8(9n + 5) + 7
(4 * 9 + 2n * 9) = 8(9n + 5) + 7
(36 + 18n) = 8(9n + 5) + 7

Reorder the terms:
36 + 18n = 8(5 + 9n) + 7
36 + 18n = (5 * 8 + 9n * 8) + 7
36 + 18n = (40 + 72n) + 7

Reorder the terms:
36 + 18n = 40 + 7 + 72n

Combine like terms: 40 + 7 = 47
36 + 18n = 47 + 72n

Solving
36 + 18n = 47 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
36 + 18n + -72n = 47 + 72n + -72n

Combine like terms: 18n + -72n = -54n
36 + -54n = 47 + 72n + -72n

Combine like terms: 72n + -72n = 0
36 + -54n = 47 + 0
36 + -54n = 47

Add '-36' to each side of the equation.
36 + -36 + -54n = 47 + -36

Combine like terms: 36 + -36 = 0
0 + -54n = 47 + -36
-54n = 47 + -36

Combine like terms: 47 + -36 = 11
-54n = 11

Divide each side by '-54'.
n = -0.2037037037

Simplifying
n = -0.2037037037

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