To solve the equation \(-25 \times 30 = -30 \times \_\_\_\_\_\), we will follow these steps:
### Step 1: Write down the equation
We start with the equation:
\[
-25 \times 30 = -30 \times \_\_\_\_\_\
\]
### Step 2: Calculate the left-hand side (LHS)
Now, we calculate the left-hand side:
\[
-25 \times 30 = -750
\]
So, we can rewrite the equation as:
\[
-750 = -30 \times \_\_\_\_\_\
\]
### Step 3: Isolate the blank
To find the value of the blank, we can isolate it by dividing both sides of the equation by \(-30\):
\[
\frac{-750}{-30} = \_\_\_\_\_\
\]
### Step 4: Simplify the left-hand side
Now, we simplify the left-hand side:
\[
\frac{-750}{-30} = \frac{750}{30}
\]
Since both negatives cancel each other out.
### Step 5: Perform the division
Now, we perform the division:
\[
750 \div 30 = 25
\]
### Step 6: Write the final answer
Thus, the value of the blank is:
\[
\_\_\_\_\_\ = 25
\]
### Final Equation
So, we can write the complete equation as:
\[
-25 \times 30 = -30 \times 25
\]
