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

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

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

Reorder the terms:
6(1 + 3n) = 9(4n + 5) + 4
(1 * 6 + 3n * 6) = 9(4n + 5) + 4
(6 + 18n) = 9(4n + 5) + 4

Reorder the terms:
6 + 18n = 9(5 + 4n) + 4
6 + 18n = (5 * 9 + 4n * 9) + 4
6 + 18n = (45 + 36n) + 4

Reorder the terms:
6 + 18n = 45 + 4 + 36n

Combine like terms: 45 + 4 = 49
6 + 18n = 49 + 36n

Solving
6 + 18n = 49 + 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.
6 + 18n + -36n = 49 + 36n + -36n

Combine like terms: 18n + -36n = -18n
6 + -18n = 49 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -18n = 49 + 0
6 + -18n = 49

Add '-6' to each side of the equation.
6 + -6 + -18n = 49 + -6

Combine like terms: 6 + -6 = 0
0 + -18n = 49 + -6
-18n = 49 + -6

Combine like terms: 49 + -6 = 43
-18n = 43

Divide each side by '-18'.
n = -2.388888889

Simplifying
n = -2.388888889