9(2n+4)=6(6n+7)+5

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Solution for 9(2n+4)=6(6n+7)+5 equation: 


Simplifying
9(2n + 4) = 6(6n + 7) + 5

Reorder the terms:
9(4 + 2n) = 6(6n + 7) + 5
(4 * 9 + 2n * 9) = 6(6n + 7) + 5
(36 + 18n) = 6(6n + 7) + 5

Reorder the terms:
36 + 18n = 6(7 + 6n) + 5
36 + 18n = (7 * 6 + 6n * 6) + 5
36 + 18n = (42 + 36n) + 5

Reorder the terms:
36 + 18n = 42 + 5 + 36n

Combine like terms: 42 + 5 = 47
36 + 18n = 47 + 36n

Solving
36 + 18n = 47 + 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 = 47 + 36n + -36n

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

Combine like terms: 36n + -36n = 0
36 + -18n = 47 + 0
36 + -18n = 47

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

Combine like terms: 36 + -36 = 0
0 + -18n = 47 + -36
-18n = 47 + -36

Combine like terms: 47 + -36 = 11
-18n = 11

Divide each side by '-18'.
n = -0.6111111111

Simplifying
n = -0.6111111111

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