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

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

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

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

Reorder the terms:
6 + 18n = 9(4 + 4n) + 1
6 + 18n = (4 * 9 + 4n * 9) + 1
6 + 18n = (36 + 36n) + 1

Reorder the terms:
6 + 18n = 36 + 1 + 36n

Combine like terms: 36 + 1 = 37
6 + 18n = 37 + 36n

Solving
6 + 18n = 37 + 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 = 37 + 36n + -36n

Combine like terms: 18n + -36n = -18n
6 + -18n = 37 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -18n = 37 + 0
6 + -18n = 37

Add '-6' to each side of the equation.
6 + -6 + -18n = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -18n = 37 + -6
-18n = 37 + -6

Combine like terms: 37 + -6 = 31
-18n = 31

Divide each side by '-18'.
n = -1.722222222

Simplifying
n = -1.722222222