5(3n+4)=9(6n+1)+4

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Solution for 5(3n+4)=9(6n+1)+4 equation: 


Simplifying
5(3n + 4) = 9(6n + 1) + 4

Reorder the terms:
5(4 + 3n) = 9(6n + 1) + 4
(4 * 5 + 3n * 5) = 9(6n + 1) + 4
(20 + 15n) = 9(6n + 1) + 4

Reorder the terms:
20 + 15n = 9(1 + 6n) + 4
20 + 15n = (1 * 9 + 6n * 9) + 4
20 + 15n = (9 + 54n) + 4

Reorder the terms:
20 + 15n = 9 + 4 + 54n

Combine like terms: 9 + 4 = 13
20 + 15n = 13 + 54n

Solving
20 + 15n = 13 + 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 = 13 + 54n + -54n

Combine like terms: 15n + -54n = -39n
20 + -39n = 13 + 54n + -54n

Combine like terms: 54n + -54n = 0
20 + -39n = 13 + 0
20 + -39n = 13

Add '-20' to each side of the equation.
20 + -20 + -39n = 13 + -20

Combine like terms: 20 + -20 = 0
0 + -39n = 13 + -20
-39n = 13 + -20

Combine like terms: 13 + -20 = -7
-39n = -7

Divide each side by '-39'.
n = 0.1794871795

Simplifying
n = 0.1794871795

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