2w-6+4(3w+1)=-4(w+1)

Solution for 2w-6+4(3w+1)=-4(w+1) equation:

Simplifying
2w + -6 + 4(3w + 1) = -4(w + 1)

Reorder the terms:
2w + -6 + 4(1 + 3w) = -4(w + 1)
2w + -6 + (1 * 4 + 3w * 4) = -4(w + 1)
2w + -6 + (4 + 12w) = -4(w + 1)

Reorder the terms:
-6 + 4 + 2w + 12w = -4(w + 1)

Combine like terms: -6 + 4 = -2
-2 + 2w + 12w = -4(w + 1)

Combine like terms: 2w + 12w = 14w
-2 + 14w = -4(w + 1)

Reorder the terms:
-2 + 14w = -4(1 + w)
-2 + 14w = (1 * -4 + w * -4)
-2 + 14w = (-4 + -4w)

Solving
-2 + 14w = -4 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-2 + 14w + 4w = -4 + -4w + 4w

Combine like terms: 14w + 4w = 18w
-2 + 18w = -4 + -4w + 4w

Combine like terms: -4w + 4w = 0
-2 + 18w = -4 + 0
-2 + 18w = -4

Add '2' to each side of the equation.
-2 + 2 + 18w = -4 + 2

Combine like terms: -2 + 2 = 0
0 + 18w = -4 + 2
18w = -4 + 2

Combine like terms: -4 + 2 = -2
18w = -2

Divide each side by '18'.
w = -0.1111111111

Simplifying
w = -0.1111111111