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

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

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

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

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

Solving
6 + 6n = 27 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 6n + -3n = 27 + 3n + -3n

Combine like terms: 6n + -3n = 3n
6 + 3n = 27 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 3n = 27 + 0
6 + 3n = 27

Add '-6' to each side of the equation.
6 + -6 + 3n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 27 + -6
3n = 27 + -6

Combine like terms: 27 + -6 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7