7(6-2n)=4n-2+8

Solution for 7(6-2n)=4n-2+8 equation:

Simplifying
7(6 + -2n) = 4n + -2 + 8
(6 * 7 + -2n * 7) = 4n + -2 + 8
(42 + -14n) = 4n + -2 + 8

Reorder the terms:
42 + -14n = -2 + 8 + 4n

Combine like terms: -2 + 8 = 6
42 + -14n = 6 + 4n

Solving
42 + -14n = 6 + 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.
42 + -14n + -4n = 6 + 4n + -4n

Combine like terms: -14n + -4n = -18n
42 + -18n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
42 + -18n = 6 + 0
42 + -18n = 6

Add '-42' to each side of the equation.
42 + -42 + -18n = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -18n = 6 + -42
-18n = 6 + -42

Combine like terms: 6 + -42 = -36
-18n = -36

Divide each side by '-18'.
n = 2

Simplifying
n = 2