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

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

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

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

Reorder the terms:
6 + 6n = 2(9 + n)
6 + 6n = (9 * 2 + n * 2)
6 + 6n = (18 + 2n)

Solving
6 + 6n = 18 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 6n + -2n = 18 + 2n + -2n

Combine like terms: 6n + -2n = 4n
6 + 4n = 18 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 4n = 18 + 0
6 + 4n = 18

Add '-6' to each side of the equation.
6 + -6 + 4n = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 18 + -6
4n = 18 + -6

Combine like terms: 18 + -6 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3