6(2n+1)=9(8n+3)+8

Solution for 6(2n+1)=9(8n+3)+8 equation:

Simplifying
6(2n + 1) = 9(8n + 3) + 8

Reorder the terms:
6(1 + 2n) = 9(8n + 3) + 8
(1 * 6 + 2n * 6) = 9(8n + 3) + 8
(6 + 12n) = 9(8n + 3) + 8

Reorder the terms:
6 + 12n = 9(3 + 8n) + 8
6 + 12n = (3 * 9 + 8n * 9) + 8
6 + 12n = (27 + 72n) + 8

Reorder the terms:
6 + 12n = 27 + 8 + 72n

Combine like terms: 27 + 8 = 35
6 + 12n = 35 + 72n

Solving
6 + 12n = 35 + 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 + 12n + -72n = 35 + 72n + -72n

Combine like terms: 12n + -72n = -60n
6 + -60n = 35 + 72n + -72n

Combine like terms: 72n + -72n = 0
6 + -60n = 35 + 0
6 + -60n = 35

Add '-6' to each side of the equation.
6 + -6 + -60n = 35 + -6

Combine like terms: 6 + -6 = 0
0 + -60n = 35 + -6
-60n = 35 + -6

Combine like terms: 35 + -6 = 29
-60n = 29

Divide each side by '-60'.
n = -0.4833333333

Simplifying
n = -0.4833333333