7w+4-2(-3w-3)=3(w-2)

Solution for 7w+4-2(-3w-3)=3(w-2) equation:

Simplifying
7w + 4 + -2(-3w + -3) = 3(w + -2)

Reorder the terms:
7w + 4 + -2(-3 + -3w) = 3(w + -2)
7w + 4 + (-3 * -2 + -3w * -2) = 3(w + -2)
7w + 4 + (6 + 6w) = 3(w + -2)

Reorder the terms:
4 + 6 + 7w + 6w = 3(w + -2)

Combine like terms: 4 + 6 = 10
10 + 7w + 6w = 3(w + -2)

Combine like terms: 7w + 6w = 13w
10 + 13w = 3(w + -2)

Reorder the terms:
10 + 13w = 3(-2 + w)
10 + 13w = (-2 * 3 + w * 3)
10 + 13w = (-6 + 3w)

Solving
10 + 13w = -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 + 13w + -3w = -6 + 3w + -3w

Combine like terms: 13w + -3w = 10w
10 + 10w = -6 + 3w + -3w

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

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

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

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

Divide each side by '10'.
w = -1.6

Simplifying
w = -1.6