6(w+1)=-4(5w-1)+8w

Solution for 6(w+1)=-4(5w-1)+8w equation:

Simplifying
6(w + 1) = -4(5w + -1) + 8w

Reorder the terms:
6(1 + w) = -4(5w + -1) + 8w
(1 * 6 + w * 6) = -4(5w + -1) + 8w
(6 + 6w) = -4(5w + -1) + 8w

Reorder the terms:
6 + 6w = -4(-1 + 5w) + 8w
6 + 6w = (-1 * -4 + 5w * -4) + 8w
6 + 6w = (4 + -20w) + 8w

Combine like terms: -20w + 8w = -12w
6 + 6w = 4 + -12w

Solving
6 + 6w = 4 + -12w

Solving for variable 'w'.

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

Add '12w' to each side of the equation.
6 + 6w + 12w = 4 + -12w + 12w

Combine like terms: 6w + 12w = 18w
6 + 18w = 4 + -12w + 12w

Combine like terms: -12w + 12w = 0
6 + 18w = 4 + 0
6 + 18w = 4

Add '-6' to each side of the equation.
6 + -6 + 18w = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 18w = 4 + -6
18w = 4 + -6

Combine like terms: 4 + -6 = -2
18w = -2

Divide each side by '18'.
w = -0.1111111111

Simplifying
w = -0.1111111111