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

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

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

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

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

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

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

Solving
4 + -4w = -12 + 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.
4 + -4w + -4w = -12 + 4w + -4w

Combine like terms: -4w + -4w = -8w
4 + -8w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
4 + -8w = -12 + 0
4 + -8w = -12

Add '-4' to each side of the equation.
4 + -4 + -8w = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -8w = -12 + -4
-8w = -12 + -4

Combine like terms: -12 + -4 = -16
-8w = -16

Divide each side by '-8'.
w = 2

Simplifying
w = 2