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

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

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

Reorder the terms:
6 + -2n = 8(-6 + 2n)
6 + -2n = (-6 * 8 + 2n * 8)
6 + -2n = (-48 + 16n)

Solving
6 + -2n = -48 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
6 + -2n + -16n = -48 + 16n + -16n

Combine like terms: -2n + -16n = -18n
6 + -18n = -48 + 16n + -16n

Combine like terms: 16n + -16n = 0
6 + -18n = -48 + 0
6 + -18n = -48

Add '-6' to each side of the equation.
6 + -6 + -18n = -48 + -6

Combine like terms: 6 + -6 = 0
0 + -18n = -48 + -6
-18n = -48 + -6

Combine like terms: -48 + -6 = -54
-18n = -54

Divide each side by '-18'.
n = 3

Simplifying
n = 3