3w+6-3(-5w-2)=6(w-1)

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

Simplifying
3w + 6 + -3(-5w + -2) = 6(w + -1)

Reorder the terms:
3w + 6 + -3(-2 + -5w) = 6(w + -1)
3w + 6 + (-2 * -3 + -5w * -3) = 6(w + -1)
3w + 6 + (6 + 15w) = 6(w + -1)

Reorder the terms:
6 + 6 + 3w + 15w = 6(w + -1)

Combine like terms: 6 + 6 = 12
12 + 3w + 15w = 6(w + -1)

Combine like terms: 3w + 15w = 18w
12 + 18w = 6(w + -1)

Reorder the terms:
12 + 18w = 6(-1 + w)
12 + 18w = (-1 * 6 + w * 6)
12 + 18w = (-6 + 6w)

Solving
12 + 18w = -6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
12 + 18w + -6w = -6 + 6w + -6w

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

Combine like terms: 6w + -6w = 0
12 + 12w = -6 + 0
12 + 12w = -6

Add '-12' to each side of the equation.
12 + -12 + 12w = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 12w = -6 + -12
12w = -6 + -12

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

Divide each side by '12'.
w = -1.5

Simplifying
w = -1.5