6(1-3n)-2(1n-1)=28

Solution for 6(1-3n)-2(1n-1)=28 equation:

Simplifying
6(1 + -3n) + -2(1n + -1) = 28
(1 * 6 + -3n * 6) + -2(1n + -1) = 28
(6 + -18n) + -2(1n + -1) = 28

Reorder the terms:
6 + -18n + -2(-1 + 1n) = 28
6 + -18n + (-1 * -2 + 1n * -2) = 28
6 + -18n + (2 + -2n) = 28

Reorder the terms:
6 + 2 + -18n + -2n = 28

Combine like terms: 6 + 2 = 8
8 + -18n + -2n = 28

Combine like terms: -18n + -2n = -20n
8 + -20n = 28

Solving
8 + -20n = 28

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + -20n = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -20n = 28 + -8
-20n = 28 + -8

Combine like terms: 28 + -8 = 20
-20n = 20

Divide each side by '-20'.
n = -1

Simplifying
n = -1