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

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

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

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

Solving
6 + -2w = 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.
6 + -2w + 4w = 4 + -4w + 4w

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

Combine like terms: -4w + 4w = 0
6 + 2w = 4 + 0
6 + 2w = 4

Add '-6' to each side of the equation.
6 + -6 + 2w = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = 4 + -6
2w = 4 + -6

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

Divide each side by '2'.
w = -1

Simplifying
w = -1