5(3n+4)=9(6n+6)+5

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Solution for 5(3n+4)=9(6n+6)+5 equation: 


Simplifying
5(3n + 4) = 9(6n + 6) + 5

Reorder the terms:
5(4 + 3n) = 9(6n + 6) + 5
(4 * 5 + 3n * 5) = 9(6n + 6) + 5
(20 + 15n) = 9(6n + 6) + 5

Reorder the terms:
20 + 15n = 9(6 + 6n) + 5
20 + 15n = (6 * 9 + 6n * 9) + 5
20 + 15n = (54 + 54n) + 5

Reorder the terms:
20 + 15n = 54 + 5 + 54n

Combine like terms: 54 + 5 = 59
20 + 15n = 59 + 54n

Solving
20 + 15n = 59 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
20 + 15n + -54n = 59 + 54n + -54n

Combine like terms: 15n + -54n = -39n
20 + -39n = 59 + 54n + -54n

Combine like terms: 54n + -54n = 0
20 + -39n = 59 + 0
20 + -39n = 59

Add '-20' to each side of the equation.
20 + -20 + -39n = 59 + -20

Combine like terms: 20 + -20 = 0
0 + -39n = 59 + -20
-39n = 59 + -20

Combine like terms: 59 + -20 = 39
-39n = 39

Divide each side by '-39'.
n = -1

Simplifying
n = -1

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