2(n+3)=6+4(n+8)

Solution for 2(n+3)=6+4(n+8) equation:

Simplifying
2(n + 3) = 6 + 4(n + 8)

Reorder the terms:
2(3 + n) = 6 + 4(n + 8)
(3 * 2 + n * 2) = 6 + 4(n + 8)
(6 + 2n) = 6 + 4(n + 8)

Reorder the terms:
6 + 2n = 6 + 4(8 + n)
6 + 2n = 6 + (8 * 4 + n * 4)
6 + 2n = 6 + (32 + 4n)

Combine like terms: 6 + 32 = 38
6 + 2n = 38 + 4n

Solving
6 + 2n = 38 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 2n + -4n = 38 + 4n + -4n

Combine like terms: 2n + -4n = -2n
6 + -2n = 38 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -2n = 38 + 0
6 + -2n = 38

Add '-6' to each side of the equation.
6 + -6 + -2n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 38 + -6
-2n = 38 + -6

Combine like terms: 38 + -6 = 32
-2n = 32

Divide each side by '-2'.
n = -16

Simplifying
n = -16