6(3n+5)=9(6n+2)+4

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Solution for 6(3n+5)=9(6n+2)+4 equation: 


Simplifying
6(3n + 5) = 9(6n + 2) + 4

Reorder the terms:
6(5 + 3n) = 9(6n + 2) + 4
(5 * 6 + 3n * 6) = 9(6n + 2) + 4
(30 + 18n) = 9(6n + 2) + 4

Reorder the terms:
30 + 18n = 9(2 + 6n) + 4
30 + 18n = (2 * 9 + 6n * 9) + 4
30 + 18n = (18 + 54n) + 4

Reorder the terms:
30 + 18n = 18 + 4 + 54n

Combine like terms: 18 + 4 = 22
30 + 18n = 22 + 54n

Solving
30 + 18n = 22 + 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.
30 + 18n + -54n = 22 + 54n + -54n

Combine like terms: 18n + -54n = -36n
30 + -36n = 22 + 54n + -54n

Combine like terms: 54n + -54n = 0
30 + -36n = 22 + 0
30 + -36n = 22

Add '-30' to each side of the equation.
30 + -30 + -36n = 22 + -30

Combine like terms: 30 + -30 = 0
0 + -36n = 22 + -30
-36n = 22 + -30

Combine like terms: 22 + -30 = -8
-36n = -8

Divide each side by '-36'.
n = 0.2222222222

Simplifying
n = 0.2222222222

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