9w+2-2(-3w-4)=3(w-2)

Solution for 9w+2-2(-3w-4)=3(w-2) equation:

Simplifying
9w + 2 + -2(-3w + -4) = 3(w + -2)

Reorder the terms:
9w + 2 + -2(-4 + -3w) = 3(w + -2)
9w + 2 + (-4 * -2 + -3w * -2) = 3(w + -2)
9w + 2 + (8 + 6w) = 3(w + -2)

Reorder the terms:
2 + 8 + 9w + 6w = 3(w + -2)

Combine like terms: 2 + 8 = 10
10 + 9w + 6w = 3(w + -2)

Combine like terms: 9w + 6w = 15w
10 + 15w = 3(w + -2)

Reorder the terms:
10 + 15w = 3(-2 + w)
10 + 15w = (-2 * 3 + w * 3)
10 + 15w = (-6 + 3w)

Solving
10 + 15w = -6 + 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.
10 + 15w + -3w = -6 + 3w + -3w

Combine like terms: 15w + -3w = 12w
10 + 12w = -6 + 3w + -3w

Combine like terms: 3w + -3w = 0
10 + 12w = -6 + 0
10 + 12w = -6

Add '-10' to each side of the equation.
10 + -10 + 12w = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 12w = -6 + -10
12w = -6 + -10

Combine like terms: -6 + -10 = -16
12w = -16

Divide each side by '12'.
w = -1.333333333

Simplifying
w = -1.333333333