6(3w+1)=3(4w-4)

Solution for 6(3w+1)=3(4w-4) equation:

Simplifying
6(3w + 1) = 3(4w + -4)

Reorder the terms:
6(1 + 3w) = 3(4w + -4)
(1 * 6 + 3w * 6) = 3(4w + -4)
(6 + 18w) = 3(4w + -4)

Reorder the terms:
6 + 18w = 3(-4 + 4w)
6 + 18w = (-4 * 3 + 4w * 3)
6 + 18w = (-12 + 12w)

Solving
6 + 18w = -12 + 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 + 18w + -12w = -12 + 12w + -12w

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

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

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

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

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

Divide each side by '6'.
w = -3

Simplifying
w = -3