4w-6+2(4w+3)=-3(w+1)

Solution for 4w-6+2(4w+3)=-3(w+1) equation:

Simplifying
4w + -6 + 2(4w + 3) = -3(w + 1)

Reorder the terms:
4w + -6 + 2(3 + 4w) = -3(w + 1)
4w + -6 + (3 * 2 + 4w * 2) = -3(w + 1)
4w + -6 + (6 + 8w) = -3(w + 1)

Reorder the terms:
-6 + 6 + 4w + 8w = -3(w + 1)

Combine like terms: -6 + 6 = 0
0 + 4w + 8w = -3(w + 1)
4w + 8w = -3(w + 1)

Combine like terms: 4w + 8w = 12w
12w = -3(w + 1)

Reorder the terms:
12w = -3(1 + w)
12w = (1 * -3 + w * -3)
12w = (-3 + -3w)

Solving
12w = -3 + -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.
12w + 3w = -3 + -3w + 3w

Combine like terms: 12w + 3w = 15w
15w = -3 + -3w + 3w

Combine like terms: -3w + 3w = 0
15w = -3 + 0
15w = -3

Divide each side by '15'.
w = -0.2

Simplifying
w = -0.2