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

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

Simplifying
6(8 + -2n) = 2n + 6
(8 * 6 + -2n * 6) = 2n + 6
(48 + -12n) = 2n + 6

Reorder the terms:
48 + -12n = 6 + 2n

Solving
48 + -12n = 6 + 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.
48 + -12n + -2n = 6 + 2n + -2n

Combine like terms: -12n + -2n = -14n
48 + -14n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
48 + -14n = 6 + 0
48 + -14n = 6

Add '-48' to each side of the equation.
48 + -48 + -14n = 6 + -48

Combine like terms: 48 + -48 = 0
0 + -14n = 6 + -48
-14n = 6 + -48

Combine like terms: 6 + -48 = -42
-14n = -42

Divide each side by '-14'.
n = 3

Simplifying
n = 3