8w-2(w-24)=-6

Solution for 8w-2(w-24)=-6 equation:

Simplifying
8w + -2(w + -24) = -6

Reorder the terms:
8w + -2(-24 + w) = -6
8w + (-24 * -2 + w * -2) = -6
8w + (48 + -2w) = -6

Reorder the terms:
48 + 8w + -2w = -6

Combine like terms: 8w + -2w = 6w
48 + 6w = -6

Solving
48 + 6w = -6

Solving for variable 'w'.

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

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

Combine like terms: 48 + -48 = 0
0 + 6w = -6 + -48
6w = -6 + -48

Combine like terms: -6 + -48 = -54
6w = -54

Divide each side by '6'.
w = -9

Simplifying
w = -9