30w-(-w+6)+(-5w+4)=-(5w+6)+(-8+3w)

1. Distribute the negative signs:
30w + w - 6 - 5w + 4 = -5w - 6 - 8 + 3w

2. Combine like terms:
26w - 2 = -2w - 14

3. Move all terms involving \( w \) to one side and constants to the other:
26w + 2w = -14 + 2
28w = -12

4. Solve for \( w \):
w = \frac{-12}{28} = \frac{-6}{14} = \frac{-3}{7}

5. Correcting the calculation:
Returning to simplifying the equation:
26w - 2 = -2w - 14

6. Add \( 2w \) to both sides:
26w + 2w - 2 = -14
28w - 2 = -14

7. Add \( 2 \) to both sides:
28w = -12

8. Divide by 28:
w = \frac{-12}{28} = -\frac{3}{7}

Rechecking the steps from start to ensure correction:
30w + w - 6 - 5w + 4 = -5w - 6 - 8 + 3w

Combine like terms:
26w - 2 = -2w - 14

Rechecking this:
26w + 2w = -14 + 2

Now getting correctly:
28w = -12
w = \frac{-12}{28} = -\frac{3}{7}