6(3n+1)=8(9n+4)+6

Solution for 6(3n+1)=8(9n+4)+6 equation:

Simplifying
6(3n + 1) = 8(9n + 4) + 6

Reorder the terms:
6(1 + 3n) = 8(9n + 4) + 6
(1 * 6 + 3n * 6) = 8(9n + 4) + 6
(6 + 18n) = 8(9n + 4) + 6

Reorder the terms:
6 + 18n = 8(4 + 9n) + 6
6 + 18n = (4 * 8 + 9n * 8) + 6
6 + 18n = (32 + 72n) + 6

Reorder the terms:
6 + 18n = 32 + 6 + 72n

Combine like terms: 32 + 6 = 38
6 + 18n = 38 + 72n

Solving
6 + 18n = 38 + 72n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-72n' to each side of the equation.
6 + 18n + -72n = 38 + 72n + -72n

Combine like terms: 18n + -72n = -54n
6 + -54n = 38 + 72n + -72n

Combine like terms: 72n + -72n = 0
6 + -54n = 38 + 0
6 + -54n = 38

Add '-6' to each side of the equation.
6 + -6 + -54n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -54n = 38 + -6
-54n = 38 + -6

Combine like terms: 38 + -6 = 32
-54n = 32

Divide each side by '-54'.
n = -0.5925925926

Simplifying
n = -0.5925925926