6-6(2-5n)=-6(2n+8)

Solution for 6-6(2-5n)=-6(2n+8) equation:

Simplifying
6 + -6(2 + -5n) = -6(2n + 8)
6 + (2 * -6 + -5n * -6) = -6(2n + 8)
6 + (-12 + 30n) = -6(2n + 8)

Combine like terms: 6 + -12 = -6
-6 + 30n = -6(2n + 8)

Reorder the terms:
-6 + 30n = -6(8 + 2n)
-6 + 30n = (8 * -6 + 2n * -6)
-6 + 30n = (-48 + -12n)

Solving
-6 + 30n = -48 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
-6 + 30n + 12n = -48 + -12n + 12n

Combine like terms: 30n + 12n = 42n
-6 + 42n = -48 + -12n + 12n

Combine like terms: -12n + 12n = 0
-6 + 42n = -48 + 0
-6 + 42n = -48

Add '6' to each side of the equation.
-6 + 6 + 42n = -48 + 6

Combine like terms: -6 + 6 = 0
0 + 42n = -48 + 6
42n = -48 + 6

Combine like terms: -48 + 6 = -42
42n = -42

Divide each side by '42'.
n = -1

Simplifying
n = -1