-3(3w-2)+4w=3(w+4)

Solution for -3(3w-2)+4w=3(w+4) equation:

Simplifying
-3(3w + -2) + 4w = 3(w + 4)

Reorder the terms:
-3(-2 + 3w) + 4w = 3(w + 4)
(-2 * -3 + 3w * -3) + 4w = 3(w + 4)
(6 + -9w) + 4w = 3(w + 4)

Combine like terms: -9w + 4w = -5w
6 + -5w = 3(w + 4)

Reorder the terms:
6 + -5w = 3(4 + w)
6 + -5w = (4 * 3 + w * 3)
6 + -5w = (12 + 3w)

Solving
6 + -5w = 12 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
6 + -5w + -3w = 12 + 3w + -3w

Combine like terms: -5w + -3w = -8w
6 + -8w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -8w = 12 + 0
6 + -8w = 12

Add '-6' to each side of the equation.
6 + -6 + -8w = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -8w = 12 + -6
-8w = 12 + -6

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

Divide each side by '-8'.
w = -0.75

Simplifying
w = -0.75