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

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

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

Reorder the terms:
6 + 6n = 8(6 + n)
6 + 6n = (6 * 8 + n * 8)
6 + 6n = (48 + 8n)

Solving
6 + 6n = 48 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 6n + -8n = 48 + 8n + -8n

Combine like terms: 6n + -8n = -2n
6 + -2n = 48 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -2n = 48 + 0
6 + -2n = 48

Add '-6' to each side of the equation.
6 + -6 + -2n = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 48 + -6
-2n = 48 + -6

Combine like terms: 48 + -6 = 42
-2n = 42

Divide each side by '-2'.
n = -21

Simplifying
n = -21