Solve and Simplify the Equation: 35 ÷ (7×5) - (2 + 9 ÷ 3/2)

To solve this problem, we'll follow these steps according to the order of operations:

• Step 1: Simplify the expression $35:(7 \cdot 5)-(2+9:\frac{3}{2})$.
• Step 2: Calculate $7 \cdot 5$ and $9:\frac{3}{2}$.
• Step 3: Simplify the division $35:35$ as well as $9:\frac{3}{2}$.
• Step 4: Evaluate the expression step-by-step.

Now, let's solve the expression:

Step 1: Calculate the multiplication: $7 \cdot 5 = 35$.

Step 2: Calculate the division: $9:\frac{3}{2} = 9 \times \frac{2}{3} = 6$. We use the reciprocal of $\frac{3}{2}$.

Step 3: Substitute back into the original expression: $35:35 - (2 + 6) = 35:35 - 8$.

Step 4: Simplify the division: $35:35 = 1$.

Step 5: Calculate the subtraction: $1 - 8 = -7$.

Therefore, the solution to the problem is $-7$.