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

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

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

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

Combine like terms: 6 + -2 = 4
4 + -4w = 4 + -2(4 + w)
4 + -4w = 4 + (4 * -2 + w * -2)
4 + -4w = 4 + (-8 + -2w)

Combine like terms: 4 + -8 = -4
4 + -4w = -4 + -2w

Solving
4 + -4w = -4 + -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.
4 + -4w + 2w = -4 + -2w + 2w

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

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

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

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

Combine like terms: -4 + -4 = -8
-2w = -8

Divide each side by '-2'.
w = 4

Simplifying
w = 4