-3,96+(-8,7)-7,04-(30,7)+(1,25:3+1/6)•(-8/9)=

To solve the expression \(-3.96 + (-8.7) - 7.04 - 30.7 + \left(\frac{1.25}{3} + \frac{1}{6}\right) \cdot \left(-\frac{8}{9}\right)\), we will follow the order of operations step-by-step:

1. Calculate the terms inside the parentheses:

   • Calculate \(\frac{1.25}{3}\): \[ \frac{1.25}{3} \approx 0.4167 \]

   • Calculate \(\frac{1}{6}\): \[ \frac{1}{6} \approx 0.1667 \]

   • Now, add these two results: \[ 0.4167 + 0.1667 \approx 0.5834 \]

2. Now, multiply this result by \(-\frac{8}{9}\): \[ 0.5834 \cdot \left(-\frac{8}{9}\right) \approx -0.5185 \]

3. Now plug this result back into the original expression: \[ -3.96 + (-8.7) - 7.04 - 30.7 - 0.5185 \]

4. Combine all the numbers step-by-step:

   • Combine \(-3.96\) and \(-8.7\): \[ -3.96 - 8.7 = -12.66 \]

   • Combine \(-12.66\) and \(-7.04\): \[ -12.66 - 7.04 = -19.70 \]

   • Combine \(-19.70\) and \(-30.7\): \[ -19.70 - 30.7 = -50.40 \]

   • Finally combine \(-50.40\) and \(-0.5185\): \[ -50.40 - 0.5185 \approx -50.9185 \]

Therefore, the final result of the expression is approximately: \[ \boxed{-50.9185} \]