2[w-3(w-1)]=18

Solution for 2[w-3(w-1)]=18 equation:

Simplifying
2[w + -3(w + -1)] = 18

Reorder the terms:
2[w + -3(-1 + w)] = 18
2[w + (-1 * -3 + w * -3)] = 18
2[w + (3 + -3w)] = 18

Reorder the terms:
2[3 + w + -3w] = 18

Combine like terms: w + -3w = -2w
2[3 + -2w] = 18
[3 * 2 + -2w * 2] = 18
[6 + -4w] = 18

Solving
6 + -4w = 18

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + -4w = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = 18 + -6
-4w = 18 + -6

Combine like terms: 18 + -6 = 12
-4w = 12

Divide each side by '-4'.
w = -3

Simplifying
w = -3