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

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

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

Reorder the terms:
6w + -6 + 4(3 + 2w) = -2(w + 6)
6w + -6 + (3 * 4 + 2w * 4) = -2(w + 6)
6w + -6 + (12 + 8w) = -2(w + 6)

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

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

Combine like terms: 6w + 8w = 14w
6 + 14w = -2(w + 6)

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

Solving
6 + 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.
6 + 14w + 2w = -12 + -2w + 2w

Combine like terms: 14w + 2w = 16w
6 + 16w = -12 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 16w = -12 + 0
6 + 16w = -12

Add '-6' to each side of the equation.
6 + -6 + 16w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 16w = -12 + -6
16w = -12 + -6

Combine like terms: -12 + -6 = -18
16w = -18

Divide each side by '16'.
w = -1.125

Simplifying
w = -1.125