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

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

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

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

Reorder the terms:
6 + 12n = 6(3 + 9n) + 9
6 + 12n = (3 * 6 + 9n * 6) + 9
6 + 12n = (18 + 54n) + 9

Reorder the terms:
6 + 12n = 18 + 9 + 54n

Combine like terms: 18 + 9 = 27
6 + 12n = 27 + 54n

Solving
6 + 12n = 27 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
6 + 12n + -54n = 27 + 54n + -54n

Combine like terms: 12n + -54n = -42n
6 + -42n = 27 + 54n + -54n

Combine like terms: 54n + -54n = 0
6 + -42n = 27 + 0
6 + -42n = 27

Add '-6' to each side of the equation.
6 + -6 + -42n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -42n = 27 + -6
-42n = 27 + -6

Combine like terms: 27 + -6 = 21
-42n = 21

Divide each side by '-42'.
n = -0.5

Simplifying
n = -0.5