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

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


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

Reorder the terms:
6(2 + 3n) = 9(4n + 3) + 4
(2 * 6 + 3n * 6) = 9(4n + 3) + 4
(12 + 18n) = 9(4n + 3) + 4

Reorder the terms:
12 + 18n = 9(3 + 4n) + 4
12 + 18n = (3 * 9 + 4n * 9) + 4
12 + 18n = (27 + 36n) + 4

Reorder the terms:
12 + 18n = 27 + 4 + 36n

Combine like terms: 27 + 4 = 31
12 + 18n = 31 + 36n

Solving
12 + 18n = 31 + 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.
12 + 18n + -36n = 31 + 36n + -36n

Combine like terms: 18n + -36n = -18n
12 + -18n = 31 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -18n = 31 + 0
12 + -18n = 31

Add '-12' to each side of the equation.
12 + -12 + -18n = 31 + -12

Combine like terms: 12 + -12 = 0
0 + -18n = 31 + -12
-18n = 31 + -12

Combine like terms: 31 + -12 = 19
-18n = 19

Divide each side by '-18'.
n = -1.055555556

Simplifying
n = -1.055555556

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