-6(1-5n)=2n+22

Solution for -6(1-5n)=2n+22 equation:

Simplifying
-6(1 + -5n) = 2n + 22
(1 * -6 + -5n * -6) = 2n + 22
(-6 + 30n) = 2n + 22

Reorder the terms:
-6 + 30n = 22 + 2n

Solving
-6 + 30n = 22 + 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.
-6 + 30n + -2n = 22 + 2n + -2n

Combine like terms: 30n + -2n = 28n
-6 + 28n = 22 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 28n = 22 + 0
-6 + 28n = 22

Add '6' to each side of the equation.
-6 + 6 + 28n = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 28n = 22 + 6
28n = 22 + 6

Combine like terms: 22 + 6 = 28
28n = 28

Divide each side by '28'.
n = 1

Simplifying
n = 1