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

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

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

Reorder the terms:
2w + -6 + 2(4 + 6w) = -2(w + 6)
2w + -6 + (4 * 2 + 6w * 2) = -2(w + 6)
2w + -6 + (8 + 12w) = -2(w + 6)

Reorder the terms:
-6 + 8 + 2w + 12w = -2(w + 6)

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

Combine like terms: 2w + 12w = 14w
2 + 14w = -2(w + 6)

Reorder the terms:
2 + 14w = -2(6 + w)
2 + 14w = (6 * -2 + w * -2)
2 + 14w = (-12 + -2w)

Solving
2 + 14w = -12 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
2 + 14w + 2w = -12 + -2w + 2w

Combine like terms: 14w + 2w = 16w
2 + 16w = -12 + -2w + 2w

Combine like terms: -2w + 2w = 0
2 + 16w = -12 + 0
2 + 16w = -12

Add '-2' to each side of the equation.
2 + -2 + 16w = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 16w = -12 + -2
16w = -12 + -2

Combine like terms: -12 + -2 = -14
16w = -14

Divide each side by '16'.
w = -0.875

Simplifying
w = -0.875