-2(7w-2)+4w=-6(w+1)

Solution for -2(7w-2)+4w=-6(w+1) equation:

Simplifying
-2(7w + -2) + 4w = -6(w + 1)

Reorder the terms:
-2(-2 + 7w) + 4w = -6(w + 1)
(-2 * -2 + 7w * -2) + 4w = -6(w + 1)
(4 + -14w) + 4w = -6(w + 1)

Combine like terms: -14w + 4w = -10w
4 + -10w = -6(w + 1)

Reorder the terms:
4 + -10w = -6(1 + w)
4 + -10w = (1 * -6 + w * -6)
4 + -10w = (-6 + -6w)

Solving
4 + -10w = -6 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
4 + -10w + 6w = -6 + -6w + 6w

Combine like terms: -10w + 6w = -4w
4 + -4w = -6 + -6w + 6w

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

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

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

Combine like terms: -6 + -4 = -10
-4w = -10

Divide each side by '-4'.
w = 2.5

Simplifying
w = 2.5