5w-6+3(3w+4)=-4(w+1)

Solution for 5w-6+3(3w+4)=-4(w+1) equation:

Simplifying
5w + -6 + 3(3w + 4) = -4(w + 1)

Reorder the terms:
5w + -6 + 3(4 + 3w) = -4(w + 1)
5w + -6 + (4 * 3 + 3w * 3) = -4(w + 1)
5w + -6 + (12 + 9w) = -4(w + 1)

Reorder the terms:
-6 + 12 + 5w + 9w = -4(w + 1)

Combine like terms: -6 + 12 = 6
6 + 5w + 9w = -4(w + 1)

Combine like terms: 5w + 9w = 14w
6 + 14w = -4(w + 1)

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

Solving
6 + 14w = -4 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
6 + 14w + 4w = -4 + -4w + 4w

Combine like terms: 14w + 4w = 18w
6 + 18w = -4 + -4w + 4w

Combine like terms: -4w + 4w = 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 = -10
18w = -10

Divide each side by '18'.
w = -0.5555555556

Simplifying
w = -0.5555555556