6(1-5n)=-3(n-2)

Solution for 6(1-5n)=-3(n-2) equation:

Simplifying
6(1 + -5n) = -3(n + -2)
(1 * 6 + -5n * 6) = -3(n + -2)
(6 + -30n) = -3(n + -2)

Reorder the terms:
6 + -30n = -3(-2 + n)
6 + -30n = (-2 * -3 + n * -3)
6 + -30n = (6 + -3n)

Add '-6' to each side of the equation.
6 + -6 + -30n = 6 + -6 + -3n

Combine like terms: 6 + -6 = 0
0 + -30n = 6 + -6 + -3n
-30n = 6 + -6 + -3n

Combine like terms: 6 + -6 = 0
-30n = 0 + -3n
-30n = -3n

Solving
-30n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-30n + 3n = -3n + 3n

Combine like terms: -30n + 3n = -27n
-27n = -3n + 3n

Combine like terms: -3n + 3n = 0
-27n = 0

Divide each side by '-27'.
n = 0

Simplifying
n = 0